879978400 has 288 divisors, whose sum is σ = 2621832192. Its totient is φ = 282009600.

The previous prime is 879978397. The next prime is 879978401. The reversal of 879978400 is 4879978.

It is a happy number.

879978400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (879978401) 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, 6423132 + ... + 6423268.

It is an arithmetic number, because the mean of its divisors is an integer number (9103584).

Almost surely, 2^879978400 is an apocalyptic number.

879978400 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 879978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310916096).

879978400 is an abundant number, since it is smaller than the sum of its proper divisors (1741853792).

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

879978400 is a wasteful number, since it uses less digits than its factorization.

879978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The square root of 879978400 is about 29664.4298782228. The cubic root of 879978400 is about 958.2761308432.

The spelling of 879978400 in words is "eight hundred seventy-nine million, nine hundred seventy-eight thousand, four hundred".