77076960 has 96 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 20341248.

The previous prime is 77076959. The next prime is 77077019. The reversal of 77076960 is 6967077.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48661 + ... + 50219.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^77076960 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 77076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

77076960 is an abundant number, since it is smaller than the sum of its proper divisors (168229920).

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

77076960 is a wasteful number, since it uses less digits than its factorization.

77076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 77076960 is about 8779.3484951903. The cubic root of 77076960 is about 425.5737763442.

The spelling of 77076960 in words is "seventy-seven million, seventy-six thousand, nine hundred sixty".