77042568 has 64 divisors (see below), whose sum is σ = 204768000. Its totient is φ = 24086592.

The previous prime is 77042561. The next prime is 77042593. The reversal of 77042568 is 86524077.

It is not an unprimeable number, because it can be changed into a prime (77042561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48003 + ... + 49581.

It is an arithmetic number, because the mean of its divisors is an integer number (3199500).

Almost surely, 2^77042568 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 77042568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102384000).

77042568 is an abundant number, since it is smaller than the sum of its proper divisors (127725432).

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

77042568 is a wasteful number, since it uses less digits than its factorization.

77042568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 77042568 is about 8777.3895891660. The cubic root of 77042568 is about 425.5104694416.

The spelling of 77042568 in words is "seventy-seven million, forty-two thousand, five hundred sixty-eight".