77931264 has 144 divisors (see below), whose sum is σ = 226050048. Its totient is φ = 23740416.

The previous prime is 77931197. The next prime is 77931289. The reversal of 77931264 is 46213977.

Its product of digits (63504) is a multiple of the sum of its prime divisors (196).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613569 + ... + 613695.

It is an arithmetic number, because the mean of its divisors is an integer number (1569792).

Almost surely, 2^77931264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113025024).

77931264 is an abundant number, since it is smaller than the sum of its proper divisors (148118784).

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

77931264 is a wasteful number, since it uses less digits than its factorization.

77931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 77931264 is about 8827.8685989315. The cubic root of 77931264 is about 427.1403246751.

It can be divided in two parts, 779312 and 64, that added together give a triangular number (779376 = T₁₂₄₈).

The spelling of 77931264 in words is "seventy-seven million, nine hundred thirty-one thousand, two hundred sixty-four".