78570864 has 80 divisors (see below), whose sum is σ = 232842240. Its totient is φ = 25341120.

The previous prime is 78570859. The next prime is 78570907. The reversal of 78570864 is 46807587.

78570864 = 1577² + 1578² + ... + 1607².

78570864 is a `hidden beast` number, since 78 + 570 + 8 + 6 + 4 = 666.

It is a congruent number.

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, 10459 + ... + 16325.

It is an arithmetic number, because the mean of its divisors is an integer number (2910528).

Almost surely, 2^78570864 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 78570864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116421120).

78570864 is an abundant number, since it is smaller than the sum of its proper divisors (154271376).

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

78570864 is a wasteful number, since it uses less digits than its factorization.

78570864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 78570864 is about 8864.0207580984. The cubic root of 78570864 is about 428.3056889741.

The spelling of 78570864 in words is "seventy-eight million, five hundred seventy thousand, eight hundred sixty-four".