788880 has 80 divisors (see below), whose sum is σ = 2589120. Its totient is φ = 198144.

The previous prime is 788873. The next prime is 788891. The reversal of 788880 is 88887.

It is a tau number, because it is divible by the number of its divisors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 788880.

It is an unprimeable number.

788880 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 15 ways as a sum of consecutive naturals, for example, 4474 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (32364).

2⁷⁸⁸⁸⁸⁰ 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 788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294560).

788880 is an abundant number, since it is smaller than the sum of its proper divisors (1800240).

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

788880 is a wasteful number, since it uses less digits than its factorization.

788880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 788880 is about 888.1891690400. The cubic root of 788880 is about 92.3996476814.

The spelling of 788880 in words is "seven hundred eighty-eight thousand, eight hundred eighty".