76356864 has 72 divisors (see below), whose sum is σ = 225821120. Its totient is φ = 25449984.

The previous prime is 76356859. The next prime is 76356881. The reversal of 76356864 is 46865367.

76356864 is a `hidden beast` number, since 7 + 635 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389 + ... + 12435.

Almost surely, 2^76356864 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 76356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910560).

76356864 is an abundant number, since it is smaller than the sum of its proper divisors (149464256).

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

76356864 is a wasteful number, since it uses less digits than its factorization.

76356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11072 (or 11052 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 76356864 is about 8738.2414706850. The cubic root of 76356864 is about 424.2443115546.

The spelling of 76356864 in words is "seventy-six million, three hundred fifty-six thousand, eight hundred sixty-four".