78624720 has 60 divisors (see below), whose sum is σ = 264050436. Its totient is φ = 20966400.

The previous prime is 78624709. The next prime is 78624737. The reversal of 78624720 is 2742687.

78624720 is a `hidden beast` number, since 7 + 8 + 624 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48944016 + 29680704 = 6996^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53881 + ... + 55320.

Almost surely, 2^78624720 is an apocalyptic number.

It is an amenable number.

78624720 is an abundant number, since it is smaller than the sum of its proper divisors (185425716).

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

78624720 is a wasteful number, since it uses less digits than its factorization.

78624720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109220 (or 109211 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 78624720 is about 8867.0581367216. The cubic root of 78624720 is about 428.4035266104.

The spelling of 78624720 in words is "seventy-eight million, six hundred twenty-four thousand, seven hundred twenty".