879753840 has 160 divisors (see below), whose sum is σ = 3180748800. Its totient is φ = 201067776.

The previous prime is 879753821. The next prime is 879753863. The reversal of 879753840 is 48357978.

It is a congruent number.

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, 76977 + ... + 87663.

It is an arithmetic number, because the mean of its divisors is an integer number (19879680).

Almost surely, 2^879753840 is an apocalyptic number.

879753840 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 879753840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590374400).

879753840 is an abundant number, since it is smaller than the sum of its proper divisors (2300994960).

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

879753840 is a wasteful number, since it uses less digits than its factorization.

879753840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 879753840 is about 29660.6446322395. The cubic root of 879753840 is about 958.1946103592.

The spelling of 879753840 in words is "eight hundred seventy-nine million, seven hundred fifty-three thousand, eight hundred forty".