77952064 has 28 divisors (see below), whose sum is σ = 155251404. Its totient is φ = 38833664.

The previous prime is 77952059. The next prime is 77952131. The reversal of 77952064 is 46025977.

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 20070400 = 7608^2 + 4480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16674 + ... + 20830.

It is an arithmetic number, because the mean of its divisors is an integer number (5544693).

Almost surely, 2^77952064 is an apocalyptic number.

It is an amenable number.

77952064 is a deficient number, since it is larger than the sum of its proper divisors (77299340).

77952064 is a wasteful number, since it uses less digits than its factorization.

77952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 77952064 is about 8829.0466076468. The cubic root of 77952064 is about 427.1783228117.

The spelling of 77952064 in words is "seventy-seven million, nine hundred fifty-two thousand, sixty-four".