77642264 has 96 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 30643200.

The previous prime is 77642249. The next prime is 77642293. The reversal of 77642264 is 46224677.

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, 406409 + ... + 406599.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 2^77642264 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 77642264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

77642264 is an abundant number, since it is smaller than the sum of its proper divisors (105560296).

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

77642264 is a wasteful number, since it uses less digits than its factorization.

77642264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The square root of 77642264 is about 8811.4847784014. The cubic root of 77642264 is about 426.6116688008.

The spelling of 77642264 in words is "seventy-seven million, six hundred forty-two thousand, two hundred sixty-four".