78032864 has 96 divisors (see below), whose sum is σ = 191471616. Its totient is φ = 30481920.

The previous prime is 78032837. The next prime is 78032879. The reversal of 78032864 is 46823087.

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, 369719 + ... + 369929.

It is an arithmetic number, because the mean of its divisors is an integer number (1994496).

Almost surely, 2^78032864 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 78032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95735808).

78032864 is an abundant number, since it is smaller than the sum of its proper divisors (113438752).

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

78032864 is a wasteful number, since it uses less digits than its factorization.

78032864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 78032864 is about 8833.6212280129. The cubic root of 78032864 is about 427.3258668616.

The spelling of 78032864 in words is "seventy-eight million, thirty-two thousand, eight hundred sixty-four".