879083520 has 360 divisors, whose sum is σ = 3317068944. Its totient is φ = 198180864.

The previous prime is 879083519. The next prime is 879083521. The reversal of 879083520 is 25380978.

It is an interprime number because it is at equal distance from previous prime (879083519) and next prime (879083521).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879083521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12042204 + ... + 12042276.

Almost surely, 2^879083520 is an apocalyptic number.

879083520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658534472).

879083520 is an abundant number, since it is smaller than the sum of its proper divisors (2437985424).

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

879083520 is an equidigital number, since it uses as much as digits as its factorization.

879083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 879083520 is about 29649.3426571315. The cubic root of 879083520 is about 957.9511861263.

The spelling of 879083520 in words is "eight hundred seventy-nine million, eighty-three thousand, five hundred twenty".