580800 has 126 divisors (see below), whose sum is σ = 2094484. Its totient is φ = 140800.

The previous prime is 580793. The next prime is 580807. The reversal of 580800 is 8085.

It is an interprime number because it is at equal distance from previous prime (580793) and next prime (580807).

It is not an unprimeable number, because it can be changed into a prime (580807) by changing a digit.

580800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52795 + ... + 52805.

2⁵⁸⁰⁸⁰⁰ is an apocalyptic number.

580800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047242).

580800 is an abundant number, since it is smaller than the sum of its proper divisors (1513684).

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

580800 is a wasteful number, since it uses less digits than its factorization.

580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

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

The square root of 580800 is about 762.1023553303. The cubic root of 580800 is about 83.4338343015.

Adding to 580800 its reverse (8085), we get a palindrome (588885).

The spelling of 580800 in words is "five hundred eighty thousand, eight hundred".