879022080 has 312 divisors, whose sum is σ = 3220045920. Its totient is φ = 221184000.

The previous prime is 879022063. The next prime is 879022087. The reversal of 879022080 is 80220978.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879022087) 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, 3501955 + ... + 3502205.

It is an arithmetic number, because the mean of its divisors is an integer number (10320660).

Almost surely, 2^879022080 is an apocalyptic number.

879022080 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 879022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610022960).

879022080 is an abundant number, since it is smaller than the sum of its proper divisors (2341023840).

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

879022080 is a wasteful number, since it uses less digits than its factorization.

879022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 879022080 is about 29648.3065283668. The cubic root of 879022080 is about 957.9288682271.

The spelling of 879022080 in words is "eight hundred seventy-nine million, twenty-two thousand, eighty".