77832664 has 128 divisors (see below), whose sum is σ = 200793600. Its totient is φ = 27371520.

The previous prime is 77832619. The next prime is 77832679. The reversal of 77832664 is 46623877.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77832664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234979 + ... + 235309.

It is an arithmetic number, because the mean of its divisors is an integer number (1568700).

Almost surely, 2^77832664 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 77832664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100396800).

77832664 is an abundant number, since it is smaller than the sum of its proper divisors (122960936).

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

77832664 is a wasteful number, since it uses less digits than its factorization.

77832664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 77832664 is about 8822.2822444082. The cubic root of 77832664 is about 426.9601068424.

The spelling of 77832664 in words is "seventy-seven million, eight hundred thirty-two thousand, six hundred sixty-four".