879831040 has 192 divisors, whose sum is σ = 2356361280. Its totient is φ = 312606720.

The previous prime is 879831011. The next prime is 879831049. The reversal of 879831040 is 40138978.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 879830984 and 879831002.

It is not an unprimeable number, because it can be changed into a prime (879831049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8222667 + ... + 8222773.

It is an arithmetic number, because the mean of its divisors is an integer number (12272715).

Almost surely, 2^879831040 is an apocalyptic number.

879831040 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 879831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178180640).

879831040 is an abundant number, since it is smaller than the sum of its proper divisors (1476530240).

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

879831040 is a wasteful number, since it uses less digits than its factorization.

879831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 879831040 is about 29661.9459914551. The cubic root of 879831040 is about 958.2226373128. Note that the first 3 decimals are identical.

The spelling of 879831040 in words is "eight hundred seventy-nine million, eight hundred thirty-one thousand, forty".