77900768 has 96 divisors (see below), whose sum is σ = 177085440. Its totient is φ = 33686400.

The previous prime is 77900717. The next prime is 77900773. The reversal of 77900768 is 86700977.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1320323 + ... + 1320381.

It is an arithmetic number, because the mean of its divisors is an integer number (1844640).

Almost surely, 2^77900768 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 77900768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720).

77900768 is an abundant number, since it is smaller than the sum of its proper divisors (99184672).

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

77900768 is a wasteful number, since it uses less digits than its factorization.

77900768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 44.

The square root of 77900768 is about 8826.1411726756. The cubic root of 77900768 is about 427.0846013356.

The spelling of 77900768 in words is "seventy-seven million, nine hundred thousand, seven hundred sixty-eight".