764
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 1344
- Proper Divisor Sum (Aliquot Sum)
- 580
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 380
- Möbius Function
- 0
- Radical
- 382
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- siebenhundertvierundsechzig· ordinal: siebenhundertvierundsechzigste
- English
- seven hundred sixty-four· ordinal: seven hundred sixty-fourth
- Spanish
- setecientos sesenta y cuatro· ordinal: 764º
- French
- sept cent soixante-quatre· ordinal: sept cent soixante-quatrième
- Italian
- settecentosessantaquattro· ordinal: 764º
- Latin
- septingenti sexaginta quattuor· ordinal: 764.
- Portuguese
- setecentos e sessenta e quatro· ordinal: 764º
Appears in sequences
- Number of self-inverse permutations on n letters, also known as involutions; number of standard Young tableaux with n cells.at n=8A000085
- Number of partitions of n into at most 4 parts.at n=43A001400
- Primes multiplied by 4.at n=42A001749
- Numbers k such that phi(k+2) = phi(k) + 2.at n=48A001838
- a(n) = Sum_{k=0..n} f(k)*f(n-k) where f(k) = A002124(k).at n=25A002125
- Squares written in base 9.at n=24A002442
- Max_{k=0..n} { Number of partitions of n into exactly k parts }.at n=31A002569
- Beginnings of periodic unitary aliquot sequences.at n=63A003062
- Numbers that are the sum of 7 positive 5th powers.at n=22A003352
- Numbers that are a sum of distinct positive cubes in more than one way.at n=15A003998
- a(n) = n*(3*n^2 - 1)/2.at n=8A004188
- Number of index n subgroups of modular group PSL_2(Z).at n=11A005133
- Number of minimal plane trees with n terminal nodes.at n=23A006241
- Series for second parallel moment of square lattice (eventually changes sign).at n=4A006729
- Numbers k such that phi(x) = k has exactly 3 solutions.at n=31A007367
- Number of Young tableaux of height <= 8.at n=8A007580
- Coordination sequence T1 for Zeolite Code AET.at n=19A008007
- Coordination sequence T4 for Zeolite Code BRE.at n=18A008061
- Coordination sequence T1 for Zeolite Code MON.at n=17A008181
- Coordination sequence T3 for Zeolite Code TON.at n=17A008243