879098220 has 864 divisors, whose sum is σ = 3952742976. Its totient is φ = 154828800.

The previous prime is 879098219. The next prime is 879098263. The reversal of 879098220 is 22890978.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21441400 + ... + 21441440.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2^879098220 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 879098220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976371488).

879098220 is an abundant number, since it is smaller than the sum of its proper divisors (3073644756).

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

879098220 is a wasteful number, since it uses less digits than its factorization.

879098220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 879098220 is about 29649.5905536653. The cubic root of 879098220 is about 957.9565257038.

The spelling of 879098220 in words is "eight hundred seventy-nine million, ninety-eight thousand, two hundred twenty".