77582980 has 12 divisors (see below), whose sum is σ = 162924300. Its totient is φ = 31033184.

The previous prime is 77582971. The next prime is 77583001. The reversal of 77582980 is 8928577.

It can be written as a sum of positive squares in 2 ways, for example, as 27541504 + 50041476 = 5248^2 + 7074^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77582980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1939555 + ... + 1939594.

It is an arithmetic number, because the mean of its divisors is an integer number (13577025).

Almost surely, 2^77582980 is an apocalyptic number.

It is an amenable number.

77582980 is an abundant number, since it is smaller than the sum of its proper divisors (85341320).

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

77582980 is a wasteful number, since it uses less digits than its factorization.

77582980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879158 (or 3879156 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The square root of 77582980 is about 8808.1201172554. The cubic root of 77582980 is about 426.5030609169.

The spelling of 77582980 in words is "seventy-seven million, five hundred eighty-two thousand, nine hundred eighty".