831079872 has 224 divisors, whose sum is σ = 2819440640. Its totient is φ = 235146240.

The previous prime is 831079853. The next prime is 831079891. The reversal of 831079872 is 278970138.

It is an interprime number because it is at equal distance from previous prime (831079853) and next prime (831079891).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535922 + ... + 1536462.

Almost surely, 2^831079872 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 831079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409720320).

831079872 is an abundant number, since it is smaller than the sum of its proper divisors (1988360768).

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

831079872 is a wasteful number, since it uses less digits than its factorization.

831079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 831079872 is about 28828.4559420029. The cubic root of 831079872 is about 940.1870278224.

The spelling of 831079872 in words is "eight hundred thirty-one million, seventy-nine thousand, eight hundred seventy-two".