580798080 has 512 divisors, whose sum is σ = 2276640000. Its totient is φ = 139345920.

The previous prime is 580798079. The next prime is 580798117. The reversal of 580798080 is 80897085.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 9521250 + ... + 9521310.

Almost surely, 2^580798080 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 580798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320000).

580798080 is an abundant number, since it is smaller than the sum of its proper divisors (1695841920).

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

580798080 is a wasteful number, since it uses less digits than its factorization.

580798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 580798080 is about 24099.7526958266. The cubic root of 580798080 is about 834.3374236328.

The spelling of 580798080 in words is "five hundred eighty million, seven hundred ninety-eight thousand, eighty".