80577 has 12 divisors (see below), whose sum is σ = 133120. Its totient is φ = 46008.

The previous prime is 80567. The next prime is 80599. The reversal of 80577 is 77508.

It is not a de Polignac number, because 80577 - 2⁶ = 80513 is a prime.

It is a Duffinian number.

80577 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 80577.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80577.

It is not an unprimeable number, because it can be changed into a prime (80527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577 + ... + 702.

2⁸⁰⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

80577 is a deficient number, since it is larger than the sum of its proper divisors (52543).

80577 is a wasteful number, since it uses less digits than its factorization.

80577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 80577 is about 283.8608814191. The cubic root of 80577 is about 43.1920381418.

The spelling of 80577 in words is "eighty thousand, five hundred seventy-seven".