879967872 has 384 divisors, whose sum is σ = 3150576000. Its totient is φ = 234823680.

The previous prime is 879967859. The next prime is 879967877. The reversal of 879967872 is 278769978.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (21337344) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (879967877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6717247 + ... + 6717377.

It is an arithmetic number, because the mean of its divisors is an integer number (8204625).

Almost surely, 2^879967872 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 879967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575288000).

879967872 is an abundant number, since it is smaller than the sum of its proper divisors (2270608128).

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

879967872 is a wasteful number, since it uses less digits than its factorization.

879967872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The square root of 879967872 is about 29664.2524261105. The cubic root of 879967872 is about 958.2723092451.

The spelling of 879967872 in words is "eight hundred seventy-nine million, nine hundred sixty-seven thousand, eight hundred seventy-two".