76257664 has 32 divisors (see below), whose sum is σ = 173624400. Its totient is φ = 32681472.

The previous prime is 76257647. The next prime is 76257667. The reversal of 76257664 is 46675267.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 76257664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76257667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41659 + ... + 43450.

Almost surely, 2^76257664 is an apocalyptic number.

It is an amenable number.

76257664 is an abundant number, since it is smaller than the sum of its proper divisors (97366736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76257664 is an equidigital number, since it uses as much as digits as its factorization.

76257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85130 (or 85118 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The square root of 76257664 is about 8732.5634266234. The cubic root of 76257664 is about 424.0605111217.

The spelling of 76257664 in words is "seventy-six million, two hundred fifty-seven thousand, six hundred sixty-four".