580077 has 6 divisors (see below), whose sum is σ = 837902. Its totient is φ = 386712.

The previous prime is 580033. The next prime is 580079. The reversal of 580077 is 770085.

It can be written as a sum of positive squares in only one way, i.e., 298116 + 281961 = 546^2 + 531^2 .

It is not a de Polignac number, because 580077 - 2⁷ = 579949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 580077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32218 + ... + 32235.

2⁵⁸⁰⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

580077 is a deficient number, since it is larger than the sum of its proper divisors (257825).

580077 is a wasteful number, since it uses less digits than its factorization.

580077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64459 (or 64456 counting only the distinct ones).

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

The square root of 580077 is about 761.6278618853. The cubic root of 580077 is about 83.3991994816.

The spelling of 580077 in words is "five hundred eighty thousand, seventy-seven".