77076768 has 48 divisors (see below), whose sum is σ = 212980320. Its totient is φ = 24339456.

The previous prime is 77076767. The next prime is 77076773. The reversal of 77076768 is 86767077.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (77076763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19305 + ... + 22952.

It is an arithmetic number, because the mean of its divisors is an integer number (4437090).

Almost surely, 2^77076768 is an apocalyptic number.

It is an amenable number.

77076768 is an abundant number, since it is smaller than the sum of its proper divisors (135903552).

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

77076768 is a wasteful number, since it uses less digits than its factorization.

77076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42289 (or 42281 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The square root of 77076768 is about 8779.3375604313. The cubic root of 77076768 is about 425.5734229734.

The spelling of 77076768 in words is "seventy-seven million, seventy-six thousand, seven hundred sixty-eight".