879348480 has 288 divisors, whose sum is σ = 2966906880. Its totient is φ = 221675520.

The previous prime is 879348479. The next prime is 879348487. The reversal of 879348480 is 84843978.

It is not an unprimeable number, because it can be changed into a prime (879348487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9880276 + ... + 9880364.

It is an arithmetic number, because the mean of its divisors is an integer number (10301760).

Almost surely, 2^879348480 is an apocalyptic number.

879348480 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 879348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

879348480 is an abundant number, since it is smaller than the sum of its proper divisors (2087558400).

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

879348480 is a wasteful number, since it uses less digits than its factorization.

879348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 879348480 is about 29653.8105477188. The cubic root of 879348480 is about 958.0474201564.

The spelling of 879348480 in words is "eight hundred seventy-nine million, three hundred forty-eight thousand, four hundred eighty".