580772080 has 160 divisors (see below), whose sum is σ = 1636752384. Its totient is φ = 187342848.

The previous prime is 580772047. The next prime is 580772089. The reversal of 580772080 is 80277085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580772089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862624 + ... + 863296.

Almost surely, 2^580772080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818376192).

580772080 is an abundant number, since it is smaller than the sum of its proper divisors (1055980304).

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

580772080 is a wasteful number, since it uses less digits than its factorization.

580772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 580772080 is about 24099.2132651670. The cubic root of 580772080 is about 834.3249734673.

The spelling of 580772080 in words is "five hundred eighty million, seven hundred seventy-two thousand, eighty".