879105072 has 160 divisors (see below), whose sum is σ = 2533766400. Its totient is φ = 261467136.

The previous prime is 879105047. The next prime is 879105077. The reversal of 879105072 is 270501978.

It is a super-2 number, since 2×879105072² = 1545651455232250368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 879105072.

It is not an unprimeable number, because it can be changed into a prime (879105077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136878 + ... + 1137650.

It is an arithmetic number, because the mean of its divisors is an integer number (15836040).

Almost surely, 2^879105072 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 879105072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266883200).

879105072 is an abundant number, since it is smaller than the sum of its proper divisors (1654661328).

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

879105072 is a wasteful number, since it uses less digits than its factorization.

879105072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 879105072 is about 29649.7061030965. The cubic root of 879105072 is about 957.9590145805.

The spelling of 879105072 in words is "eight hundred seventy-nine million, one hundred five thousand, seventy-two".