879120060 has 192 divisors, whose sum is σ = 3082060800. Its totient is φ = 182274048.

The previous prime is 879120049. The next prime is 879120061. The reversal of 879120060 is 60021978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879120061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320776 + ... + 323504.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 2^879120060 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 879120060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

879120060 is an abundant number, since it is smaller than the sum of its proper divisors (2202940740).

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

879120060 is a wasteful number, since it uses less digits than its factorization.

879120060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 879120060 is about 29649.9588532598. The cubic root of 879120060 is about 957.9644586806.

The spelling of 879120060 in words is "eight hundred seventy-nine million, one hundred twenty thousand, sixty".