688782920 has 64 divisors (see below), whose sum is σ = 1780289280. Its totient is φ = 234936576.

The previous prime is 688782917. The next prime is 688782949. The reversal of 688782920 is 29287886.

688782920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48917 + ... + 61403.

It is an arithmetic number, because the mean of its divisors is an integer number (27817020).

Almost surely, 2^688782920 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 688782920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890144640).

688782920 is an abundant number, since it is smaller than the sum of its proper divisors (1091506360).

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

688782920 is a wasteful number, since it uses less digits than its factorization.

688782920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12702 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 688782920 is about 26244.6741263823. The cubic root of 688782920 is about 883.1357311249.

The spelling of 688782920 in words is "six hundred eighty-eight million, seven hundred eighty-two thousand, nine hundred twenty".