77290080 has 96 divisors (see below), whose sum is σ = 278256384. Its totient is φ = 17665536.

The previous prime is 77290039. The next prime is 77290091. The reversal of 77290080 is 8009277.

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 (33) 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, 8142 + ... + 14861.

It is an arithmetic number, because the mean of its divisors is an integer number (2898504).

Almost surely, 2^77290080 is an apocalyptic number.

77290080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77290080 is an abundant number, since it is smaller than the sum of its proper divisors (200966304).

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

77290080 is a wasteful number, since it uses less digits than its factorization.

77290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23028 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 77290080 is about 8791.4776914919. The cubic root of 77290080 is about 425.9656566023.

The spelling of 77290080 in words is "seventy-seven million, two hundred ninety thousand, eighty".