879520320 has 168 divisors, whose sum is σ = 3457431744. Its totient is φ = 201028608.

The previous prime is 879520307. The next prime is 879520321. The reversal of 879520320 is 23025978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (879520321) 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, 1654 + ... + 41973.

Almost surely, 2^879520320 is an apocalyptic number.

879520320 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 879520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728715872).

879520320 is an abundant number, since it is smaller than the sum of its proper divisors (2577911424).

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

879520320 is a wasteful number, since it uses less digits than its factorization.

879520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43657 (or 43644 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 879520320 is about 29656.7078415660. The cubic root of 879520320 is about 958.1098224727.

The spelling of 879520320 in words is "eight hundred seventy-nine million, five hundred twenty thousand, three hundred twenty".