876831984 has 120 divisors (see below), whose sum is σ = 2969497440. Its totient is φ = 235782144.

The previous prime is 876831983. The next prime is 876832043. The reversal of 876831984 is 489138678.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 876831984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876831983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8449 + ... + 42720.

It is an arithmetic number, because the mean of its divisors is an integer number (24745812).

Almost surely, 2^876831984 is an apocalyptic number.

876831984 is a gapful number since it is divisible by the number (84) 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 876831984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484748720).

876831984 is an abundant number, since it is smaller than the sum of its proper divisors (2092665456).

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

876831984 is a wasteful number, since it uses less digits than its factorization.

876831984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51207 (or 51198 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 876831984 is about 29611.3489054450. The cubic root of 876831984 is about 957.1326421297.

The spelling of 876831984 in words is "eight hundred seventy-six million, eight hundred thirty-one thousand, nine hundred eighty-four".