580080 has 40 divisors (see below), whose sum is σ = 1798992. Its totient is φ = 154624.

The previous prime is 580079. The next prime is 580081. The reversal of 580080 is 80085.

580080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (580079) and next prime (580081).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580081) 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, 969 + ... + 1448.

2⁵⁸⁰⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

580080 is an abundant number, since it is smaller than the sum of its proper divisors (1218912).

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

580080 is a wasteful number, since it uses less digits than its factorization.

580080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 580080 is about 761.6298313485. The cubic root of 580080 is about 83.3993432540.

The spelling of 580080 in words is "five hundred eighty thousand, eighty".