879998160 has 40 divisors (see below), whose sum is σ = 2727995040. Its totient is φ = 234666112.

The previous prime is 879998111. The next prime is 879998177. The reversal of 879998160 is 61899978.

879998160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×879998160³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 879998160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1833090 + ... + 1833569.

It is an arithmetic number, because the mean of its divisors is an integer number (68199876).

Almost surely, 2^879998160 is an apocalyptic number.

879998160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

879998160 is an abundant number, since it is smaller than the sum of its proper divisors (1847996880).

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

879998160 is a wasteful number, since it uses less digits than its factorization.

879998160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666675 (or 3666669 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The square root of 879998160 is about 29664.7629351728. The cubic root of 879998160 is about 958.2833035172.

The spelling of 879998160 in words is "eight hundred seventy-nine million, nine hundred ninety-eight thousand, one hundred sixty".