879253760 has 216 divisors, whose sum is σ = 2648925888. Its totient is φ = 273715200.

The previous prime is 879253751. The next prime is 879253763. The reversal of 879253760 is 67352978.

It is not an unprimeable number, because it can be changed into a prime (879253763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083755 + ... + 1084565.

Almost surely, 2^879253760 is an apocalyptic number.

879253760 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 879253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324462944).

879253760 is an abundant number, since it is smaller than the sum of its proper divisors (1769672128).

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

879253760 is a wasteful number, since it uses less digits than its factorization.

879253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 879253760 is about 29652.2134081083. The cubic root of 879253760 is about 958.0130198732.

The spelling of 879253760 in words is "eight hundred seventy-nine million, two hundred fifty-three thousand, seven hundred sixty".