879233220 has 144 divisors (see below), whose sum is σ = 2769360048. Its totient is φ = 225607680.

The previous prime is 879233219. The next prime is 879233221. The reversal of 879233220 is 22332978.

It is an interprime number because it is at equal distance from previous prime (879233219) and next prime (879233221).

It can be written as a sum of positive squares in 8 ways, for example, as 2125764 + 877107456 = 1458^2 + 29616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (879233221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645340 + ... + 646700.

It is an arithmetic number, because the mean of its divisors is an integer number (19231667).

Almost surely, 2^879233220 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 879233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384680024).

879233220 is an abundant number, since it is smaller than the sum of its proper divisors (1890126828).

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

879233220 is a wasteful number, since it uses less digits than its factorization.

879233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 879233220 is about 29651.8670575733. The cubic root of 879233220 is about 958.0055598575.

The spelling of 879233220 in words is "eight hundred seventy-nine million, two hundred thirty-three thousand, two hundred twenty".