868753920 has 320 divisors, whose sum is σ = 2969809920. Its totient is φ = 216268800.

The previous prime is 868753913. The next prime is 868753939. The reversal of 868753920 is 29357868.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 868753920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9761236 + ... + 9761324.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2^868753920 is an apocalyptic number.

868753920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

868753920 is an abundant number, since it is smaller than the sum of its proper divisors (2101056000).

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

868753920 is a wasteful number, since it uses less digits than its factorization.

868753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 868753920 is about 29474.6318043161. The cubic root of 868753920 is about 954.1842837612.

The spelling of 868753920 in words is "eight hundred sixty-eight million, seven hundred fifty-three thousand, nine hundred twenty".