879644160 has 240 divisors, whose sum is σ = 3094092144. Its totient is φ = 230916096.

The previous prime is 879644137. The next prime is 879644173. The reversal of 879644160 is 61446978.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681659 + ... + 1682181.

Almost surely, 2^879644160 is an apocalyptic number.

879644160 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 879644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547046072).

879644160 is an abundant number, since it is smaller than the sum of its proper divisors (2214447984).

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

879644160 is a wasteful number, since it uses less digits than its factorization.

879644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 879644160 is about 29658.7956599724. The cubic root of 879644160 is about 958.1547889350.

The spelling of 879644160 in words is "eight hundred seventy-nine million, six hundred forty-four thousand, one hundred sixty".