77631696 has 120 divisors (see below), whose sum is σ = 231276864. Its totient is φ = 25194240.

The previous prime is 77631689. The next prime is 77631713. The reversal of 77631696 is 69613677.

77631696 is a `hidden beast` number, since 7 + 7 + 631 + 6 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159165 + ... + 159651.

Almost surely, 2^77631696 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 77631696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115638432).

77631696 is an abundant number, since it is smaller than the sum of its proper divisors (153645168).

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

77631696 is a wasteful number, since it uses less digits than its factorization.

77631696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 77631696 is about 8810.8850860739. The cubic root of 77631696 is about 426.5923123470.

The spelling of 77631696 in words is "seventy-seven million, six hundred thirty-one thousand, six hundred ninety-six".