76964625 has 72 divisors (see below), whose sum is σ = 145882152. Its totient is φ = 39009600.

The previous prime is 76964617. The next prime is 76964653. The reversal of 76964625 is 52646967.

It can be written as a sum of positive squares in 4 ways, for example, as 16641 + 76947984 = 129^2 + 8772^2 .

It is not a de Polignac number, because 76964625 - 2³ = 76964617 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (544320) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1789854 + ... + 1789896.

It is an arithmetic number, because the mean of its divisors is an integer number (2026141).

Almost surely, 2^76964625 is an apocalyptic number.

76964625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76964625 is a deficient number, since it is larger than the sum of its proper divisors (68917527).

76964625 is a wasteful number, since it uses less digits than its factorization.

76964625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 88 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 76964625 is about 8772.9484781344. The cubic root of 76964625 is about 425.3669264884.

76964625 divided by its sum of digits (45) gives a triangular number (1710325 = T₁₈₄₉).

It can be divided in two parts, 7696 and 4625, that added together give a palindrome (12321).

The spelling of 76964625 in words is "seventy-six million, nine hundred sixty-four thousand, six hundred twenty-five".