77696568 has 96 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 24724224.

The previous prime is 77696551. The next prime is 77696581. The reversal of 77696568 is 86569677.

It is a happy number.

77696568 is a `hidden beast` number, since 7 + 76 + 9 + 6 + 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, 265030 + ... + 265322.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^77696568 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 77696568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

77696568 is an abundant number, since it is smaller than the sum of its proper divisors (142450632).

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

77696568 is a wasteful number, since it uses less digits than its factorization.

77696568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 77696568 is about 8814.5656727941. The cubic root of 77696568 is about 426.7111048550.

It can be divided in two parts, 776 and 96568, that added together give a square (97344 = 312²).

The spelling of 77696568 in words is "seventy-seven million, six hundred ninety-six thousand, five hundred sixty-eight".