879974400 has 288 divisors, whose sum is σ = 3089333520. Its totient is φ = 220200960.

The previous prime is 879974399. The next prime is 879974437. The reversal of 879974400 is 4479978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 879974400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611032 + ... + 2611368.

Almost surely, 2^879974400 is an apocalyptic number.

879974400 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 879974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544666760).

879974400 is an abundant number, since it is smaller than the sum of its proper divisors (2209359120).

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

879974400 is a wasteful number, since it uses less digits than its factorization.

879974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 879974400 is about 29664.3624573325. The cubic root of 879974400 is about 958.2746788718.

The spelling of 879974400 in words is "eight hundred seventy-nine million, nine hundred seventy-four thousand, four hundred".