879204144 has 320 divisors, whose sum is σ = 2972254208. Its totient is φ = 217728000.

The previous prime is 879204103. The next prime is 879204149. The reversal of 879204144 is 441402978.

879204144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×879204144³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (879204149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5822469 + ... + 5822619.

Almost surely, 2^879204144 is an apocalyptic number.

879204144 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 879204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486127104).

879204144 is an abundant number, since it is smaller than the sum of its proper divisors (2093050064).

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

879204144 is a wasteful number, since it uses less digits than its factorization.

879204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 879204144 is about 29651.3767639885. The cubic root of 879204144 is about 957.9949994146.

The spelling of 879204144 in words is "eight hundred seventy-nine million, two hundred four thousand, one hundred forty-four".