580806720 has 224 divisors, whose sum is σ = 2206995840. Its totient is φ = 142940160.

The previous prime is 580806671. The next prime is 580806739. The reversal of 580806720 is 27608085.

580806720 is a `hidden beast` number, since 580 + 8 + 0 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109735 + ... + 114905.

It is an arithmetic number, because the mean of its divisors is an integer number (9852660).

Almost surely, 2^580806720 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 580806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103497920).

580806720 is an abundant number, since it is smaller than the sum of its proper divisors (1626189120).

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

580806720 is a wasteful number, since it uses less digits than its factorization.

580806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 580806720 is about 24099.9319501114. The cubic root of 580806720 is about 834.3415608364.

The spelling of 580806720 in words is "five hundred eighty million, eight hundred six thousand, seven hundred twenty".