77589968 has 20 divisors (see below), whose sum is σ = 150745188. Its totient is φ = 38688000.

The previous prime is 77589961. The next prime is 77589973. The reversal of 77589968 is 86998577.

It can be written as a sum of positive squares in 2 ways, for example, as 15936064 + 61653904 = 3992^2 + 7852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77589961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533 + ... + 12468.

Almost surely, 2^77589968 is an apocalyptic number.

It is an amenable number.

77589968 is a deficient number, since it is larger than the sum of its proper divisors (73155220).

77589968 is a wasteful number, since it uses less digits than its factorization.

77589968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13382 (or 13376 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 59.

The square root of 77589968 is about 8808.5167877458. The cubic root of 77589968 is about 426.5158657611.

The spelling of 77589968 in words is "seventy-seven million, five hundred eighty-nine thousand, nine hundred sixty-eight".