879916608 has 168 divisors, whose sum is σ = 2707111680. Its totient is φ = 283046400.

The previous prime is 879916603. The next prime is 879916627. The reversal of 879916608 is 806619978.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (879916601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450033 + ... + 451983.

It is an arithmetic number, because the mean of its divisors is an integer number (16113760).

Almost surely, 2^879916608 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 879916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353555840).

879916608 is an abundant number, since it is smaller than the sum of its proper divisors (1827195072).

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

879916608 is a wasteful number, since it uses less digits than its factorization.

879916608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 879916608 is about 29663.3883432085. The cubic root of 879916608 is about 958.2537002984.

The spelling of 879916608 in words is "eight hundred seventy-nine million, nine hundred sixteen thousand, six hundred eight".