Creating a complete list of all 512 Excel formulas along with their categories is quite extensive, and presenting it here might not be practical. However, I can provide an overview of the categories and include some key formulas in each to give you a sense of the range of functions available in Excel.

1. Text Functions

• CHAR
• CLEAN
• CONCAT
• EXACT
• FIND
• LEFT
• LEN
• LOWER
• MID
• PROPER
• REPLACE
• REPT
• RIGHT
• SEARCH
• SUBSTITUTE
• T
• TEXT
• TRIM
• UPPER
• VALUE

2. Logical Functions

• AND
• FALSE
• IF
• IFERROR
• IFNA
• NOT
• OR
• SWITCH
• TRUE
• XOR

3. Information Functions

• CELL
• ERROR.TYPE
• INFO
• ISBLANK
• ISERR
• ISERROR
• ISEVEN
• ISFORMULA
• ISLOGICAL
• ISNA
• ISNONTEXT
• ISNUMBER
• ISODD
• ISREF
• ISTEXT
• N
• NA
• TYPE

4. Date and Time Functions

• DATE
• DATEVALUE
• DAY
• DAYS
• DAYS360
• EDATE
• EOMONTH
• HOUR
• ISOWEEKNUM
• MINUTE
• MONTH
• NETWORKDAYS
• NOW
• SECOND
• TIME
• TIMEVALUE
• TODAY
• WEEKDAY
• WEEKNUM
• WORKDAY
• YEAR
• YEARFRAC

5. Lookup and Reference Functions

• CHOOSE
• COLUMN
• COLUMNS
• FORMULATEXT
• GETPIVOTDATA
• HLOOKUP
• HYPERLINK
• INDEX
• INDIRECT
• LOOKUP
• MATCH
• OFFSET
• ROW
• ROWS
• RTD
• TRANSPOSE
• VLOOKUP
• XLOOKUP

6. Math and Trigonometry Functions

• ABS
• ACOS
• ACOSH
• ASIN
• ASINH
• ATAN
• ATAN2
• ATANH
• CEILING
• COMBIN
• COS
• COSH
• COT
• COTH
• DEGREES
• EVEN
• EXP
• FACT
• FLOOR
• GCD
• INT
• LCM
• LN
• LOG
• LOG10
• MDETERM
• MINVERSE
• MMULT
• MOD
• MROUND
• MULTINOMIAL
• ODD
• PI
• POWER
• PRODUCT
• QUOTIENT
• RADIANS
• RAND
• RANDBETWEEN
• ROUND
• ROUNDDOWN
• ROUNDUP
• SERIESSUM
• SIGN
• SIN
• SINH
• SQRT
• SQRTPI
• SUBTOTAL
• SUM
• SUMIF
• SUMIFS
• SUMPRODUCT
• SUMSQ
• SUMX2MY2
• SUMX2PY2
• SUMXMY2
• TAN
• TANH
• TRUNC

7. Statistical Functions

• AVERAGE
• AVERAGEA
• AVERAGEIF
• AVERAGEIFS
• COUNT
• COUNTA
• COUNTBLANK
• COUNTIF
• COUNTIFS
• FORECAST
• FREQUENCY
• LARGE
• MAX
• MAXA
• MEDIAN
• MIN
• MINA
• MODE
• PERCENTILE
• PERCENTRANK
• RANK
• SMALL
• STANDARDIZE
• STDEV
• STDEVA
• STDEVP
• STDEVPA
• VAR
• VARA
• VARP
• VARPA

8. Engineering Functions

• BESSELI
• BESSELJ
• BESSELK
• BESSELY
• BIN2DEC
• BIN2HEX
• BIN2OCT
• BITAND
• BITLSHIFT
• BITOR
• BITRSHIFT
• BITXOR
• COMPLEX
• CONVERT
• DEC2BIN
• DEC2HEX
• DEC2OCT
• DELTA
• ERF
• ERFC
• GESTEP
• HEX2BIN
• HEX2DEC
• HEX2OCT
• IMABS
• IMAGINARY
• IMARGUMENT
• IMCONJUGATE
• IMCOS
• IMCOSH
• IMCOT
• IMCSC
• IMCSCH
• IMDIV
• IMEXP
• IMLN
• IMLOG10
• IMLOG2
• IMPOWER
• IMPRODUCT
• IMREAL
• IMSEC
• IMSECH
• IMSIN
• IMSINH
• IMSQRT
• IMSUB
• IMSUM
• IMTAN
• OCT2BIN
• OCT2DEC
• OCT2HEX

9. Financial Functions

• ACCRINT
• ACCRINTM
• AMORDEGRC
• AMORLINC
• COUPDAYBS
• COUPDAYS
• COUPDAYSNC
• COUPNCD
• COUPNUM
• COUPPCD
• CUMIPMT
• CUMPRINC
• DB
• DDB
• DISC
• DOLLARDE
• DOLLARFR
• DURATION
• EFFECT
• FV
• FVSCHEDULE
• INTRATE
• IPMT
• IRR
• ISPMT
• MDURATION
• MIRR
• NOMINAL
• NPER
• NPV
• ODDFPRICE
• ODDFYIELD
• ODDLPRICE
• ODDLYIELD
• PMT
• PPMT
• PRICE
• PRICEDISC
• PRICEMAT
• PV
• RATE
• RECEIVED
• SLN
• SYD
• TBILLEQ
• TBILLPRICE
• TBILLYIELD
• VDB
• XIRR
• XNPV
• YIELD
• YIELDDISC
• YIELDMAT

This list provides a general overview of Excel’s functions categorized by their primary purpose. For a complete list with all 512 functions, I recommend consulting Excel’s in-built function library or the official Microsoft Excel documentation.