77939568 has 120 divisors (see below), whose sum is σ = 251317248. Its totient is φ = 22087296.

The previous prime is 77939557. The next prime is 77939581. The reversal of 77939568 is 86593977.

77939568 is a `hidden beast` number, since 7 + 79 + 3 + 9 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168105 + ... + 168567.

Almost surely, 2^77939568 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 77939568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125658624).

77939568 is an abundant number, since it is smaller than the sum of its proper divisors (173377680).

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

77939568 is a wasteful number, since it uses less digits than its factorization.

77939568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 77939568 is about 8828.3389151074. The cubic root of 77939568 is about 427.1554955111.

The spelling of 77939568 in words is "seventy-seven million, nine hundred thirty-nine thousand, five hundred sixty-eight".