580788 has 72 divisors (see below), whose sum is σ = 1696968. Its totient is φ = 165888.

The previous prime is 580787. The next prime is 580793. The reversal of 580788 is 887085.

580788 is a `hidden beast` number, since 580 + 78 + 8 = 666.

580788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 501264 = 282^2 + 708^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7920 + ... + 7992.

It is an arithmetic number, because the mean of its divisors is an integer number (23569).

2⁵⁸⁰⁷⁸⁸ 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 580788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848484).

580788 is an abundant number, since it is smaller than the sum of its proper divisors (1116180).

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

580788 is a wasteful number, since it uses less digits than its factorization.

580788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 580788 is about 762.0944823314. The cubic root of 580788 is about 83.4332596844.

The spelling of 580788 in words is "five hundred eighty thousand, seven hundred eighty-eight".