879228168 has 288 divisors, whose sum is σ = 2939832000. Its totient is φ = 217147392.

The previous prime is 879228167. The next prime is 879228179. The reversal of 879228168 is 861822978.

It is a happy number.

879228168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 879228168.

It is not an unprimeable number, because it can be changed into a prime (879228167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4418133 + ... + 4418331.

It is an arithmetic number, because the mean of its divisors is an integer number (10207750).

Almost surely, 2^879228168 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 879228168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469916000).

879228168 is an abundant number, since it is smaller than the sum of its proper divisors (2060603832).

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

879228168 is a wasteful number, since it uses less digits than its factorization.

879228168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 879228168 is about 29651.7818688861. The cubic root of 879228168 is about 958.0037249809.

The spelling of 879228168 in words is "eight hundred seventy-nine million, two hundred twenty-eight thousand, one hundred sixty-eight".