78624680 has 64 divisors (see below), whose sum is σ = 184204800. Its totient is φ = 30170880.

The previous prime is 78624653. The next prime is 78624691. The reversal of 78624680 is 8642687.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 201926 + ... + 202314.

It is an arithmetic number, because the mean of its divisors is an integer number (2878200).

Almost surely, 2^78624680 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 78624680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92102400).

78624680 is an abundant number, since it is smaller than the sum of its proper divisors (105580120).

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

78624680 is a wasteful number, since it uses less digits than its factorization.

78624680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 78624680 is about 8867.0558811818. The cubic root of 78624680 is about 428.4034539609.

The spelling of 78624680 in words is "seventy-eight million, six hundred twenty-four thousand, six hundred eighty".