879430320 has 240 divisors, whose sum is σ = 3126299904. Its totient is φ = 221414400.

The previous prime is 879430309. The next prime is 879430337. The reversal of 879430320 is 23034978.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21449500 + ... + 21449540.

Almost surely, 2^879430320 is an apocalyptic number.

879430320 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 879430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563149952).

879430320 is an abundant number, since it is smaller than the sum of its proper divisors (2246869584).

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

879430320 is a wasteful number, since it uses less digits than its factorization.

879430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 879430320 is about 29655.1904394492. The cubic root of 879430320 is about 958.0771407091.

The spelling of 879430320 in words is "eight hundred seventy-nine million, four hundred thirty thousand, three hundred twenty".