879389280 has 648 divisors, whose sum is σ = 3874315536. Its totient is φ = 180956160.

The previous prime is 879389257. The next prime is 879389281. The reversal of 879389280 is 82983978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879389281) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 8537709 + ... + 8537811.

It is an arithmetic number, because the mean of its divisors is an integer number (5978882).

Almost surely, 2^879389280 is an apocalyptic number.

879389280 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 879389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937157768).

879389280 is an abundant number, since it is smaller than the sum of its proper divisors (2994926256).

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

879389280 is a wasteful number, since it uses less digits than its factorization.

879389280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 879389280 is about 29654.4984783085. The cubic root of 879389280 is about 958.0622370847.

The spelling of 879389280 in words is "eight hundred seventy-nine million, three hundred eighty-nine thousand, two hundred eighty".