879132672 has 192 divisors, whose sum is σ = 2780781120. Its totient is φ = 265420800.

The previous prime is 879132659. The next prime is 879132739. The reversal of 879132672 is 276231978.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3243897 + ... + 3244167.

It is an arithmetic number, because the mean of its divisors is an integer number (14483235).

Almost surely, 2^879132672 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 879132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390390560).

879132672 is an abundant number, since it is smaller than the sum of its proper divisors (1901648448).

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

879132672 is a wasteful number, since it uses less digits than its factorization.

879132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 287 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 879132672 is about 29650.1715340738. The cubic root of 879132672 is about 957.9690396969.

The spelling of 879132672 in words is "eight hundred seventy-nine million, one hundred thirty-two thousand, six hundred seventy-two".