879672768 has 112 divisors (see below), whose sum is σ = 2520635040. Its totient is φ = 269144064.

The previous prime is 879672763. The next prime is 879672779. The reversal of 879672768 is 867276978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879672763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490818 + ... + 492606.

It is an arithmetic number, because the mean of its divisors is an integer number (22505670).

Almost surely, 2^879672768 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 879672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260317520).

879672768 is an abundant number, since it is smaller than the sum of its proper divisors (1640962272).

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

879672768 is a wasteful number, since it uses less digits than its factorization.

879672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2004 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 60.

The square root of 879672768 is about 29659.2779413121. The cubic root of 879672768 is about 958.1651759363.

The spelling of 879672768 in words is "eight hundred seventy-nine million, six hundred seventy-two thousand, seven hundred sixty-eight".