879825408 has 320 divisors, whose sum is σ = 3007521792. Its totient is φ = 221921280.

The previous prime is 879825391. The next prime is 879825413. The reversal of 879825408 is 804528978.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5085610 + ... + 5085782.

Almost surely, 2^879825408 is an apocalyptic number.

879825408 is a gapful number since it is divisible by the number (88) 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 879825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503760896).

879825408 is an abundant number, since it is smaller than the sum of its proper divisors (2127696384).

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

879825408 is a wasteful number, since it uses less digits than its factorization.

879825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 879825408 is about 29661.8510548482. The cubic root of 879825408 is about 958.2205927076.

The spelling of 879825408 in words is "eight hundred seventy-nine million, eight hundred twenty-five thousand, four hundred eight".