788800 has 84 divisors (see below), whose sum is σ = 2125980. Its totient is φ = 286720.

The previous prime is 788789. The next prime is 788813. The reversal of 788800 is 8887.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 788544 = 16^2 + 888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27186 + ... + 27214.

2⁷⁸⁸⁸⁰⁰ 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 788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062990).

788800 is an abundant number, since it is smaller than the sum of its proper divisors (1337180).

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

788800 is a wasteful number, since it uses less digits than its factorization.

788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 788800 is about 888.1441324470. The cubic root of 788800 is about 92.3965241723.

The spelling of 788800 in words is "seven hundred eighty-eight thousand, eight hundred".