831200076 has 192 divisors, whose sum is σ = 2548224000. Its totient is φ = 229402368.

The previous prime is 831200039. The next prime is 831200129. The reversal of 831200076 is 670002138.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5294190 + ... + 5294346.

It is an arithmetic number, because the mean of its divisors is an integer number (13272000).

Almost surely, 2^831200076 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 831200076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274112000).

831200076 is an abundant number, since it is smaller than the sum of its proper divisors (1717023924).

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

831200076 is a wasteful number, since it uses less digits than its factorization.

831200076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 831200076 is about 28830.5406817146. The cubic root of 831200076 is about 940.2323539084.

The spelling of 831200076 in words is "eight hundred thirty-one million, two hundred thousand, seventy-six".