788580 has 72 divisors (see below), whose sum is σ = 2583672. Its totient is φ = 193536.

The previous prime is 788569. The next prime is 788603. The reversal of 788580 is 85887.

788580 is a `hidden beast` number, since 78 + 8 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 788544 = 6^2 + 888^2 .

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

It is an unprimeable number.

788580 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 23 ways as a sum of consecutive naturals, for example, 2172 + ... + 2508.

2⁷⁸⁸⁵⁸⁰ 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 788580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291836).

788580 is an abundant number, since it is smaller than the sum of its proper divisors (1795092).

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

788580 is a wasteful number, since it uses less digits than its factorization.

788580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

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

The square root of 788580 is about 888.0202700389. The cubic root of 788580 is about 92.3879334330.

Subtracting from 788580 its sum of digits (36), we obtain a square (788544 = 888²).

The spelling of 788580 in words is "seven hundred eighty-eight thousand, five hundred eighty".