78605920 has 48 divisors (see below), whose sum is σ = 186293520. Its totient is φ = 31343104.

The previous prime is 78605911. The next prime is 78605951. The reversal of 78605920 is 2950687.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78605920.

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, 70326 + ... + 71434.

It is an arithmetic number, because the mean of its divisors is an integer number (3881115).

Almost surely, 2^78605920 is an apocalyptic number.

It is an amenable number.

78605920 is an abundant number, since it is smaller than the sum of its proper divisors (107687600).

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

78605920 is a wasteful number, since it uses less digits than its factorization.

78605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 78605920 is about 8865.9979697719. The cubic root of 78605920 is about 428.3693786210.

The spelling of 78605920 in words is "seventy-eight million, six hundred five thousand, nine hundred twenty".