879921864 has 96 divisors (see below), whose sum is σ = 2456059320. Its totient is φ = 284387328.

The previous prime is 879921851. The next prime is 879921871. The reversal of 879921864 is 468129978.

It can be written as a sum of positive squares in 4 ways, for example, as 776736900 + 103184964 = 27870^2 + 10158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 879921864.

It is an unprimeable number.

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, 1483552 + ... + 1484144.

Almost surely, 2^879921864 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 879921864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228029660).

879921864 is an abundant number, since it is smaller than the sum of its proper divisors (1576137456).

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

879921864 is a wasteful number, since it uses less digits than its factorization.

879921864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1192 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 879921864 is about 29663.4769371360. The cubic root of 879921864 is about 958.2556082714.

The spelling of 879921864 in words is "eight hundred seventy-nine million, nine hundred twenty-one thousand, eight hundred sixty-four".