84122880 has 144 divisors (see below), whose sum is σ = 283053120. Its totient is φ = 21233664.

The previous prime is 84122879. The next prime is 84122887. The reversal of 84122880 is 8822148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84122887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72384 + ... + 73536.

Almost surely, 2^84122880 is an apocalyptic number.

84122880 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 84122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141526560).

84122880 is an abundant number, since it is smaller than the sum of its proper divisors (198930240).

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

84122880 is a wasteful number, since it uses less digits than its factorization.

84122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 84122880 is about 9171.8525936694. The cubic root of 84122880 is about 438.1653636357.

The spelling of 84122880 in words is "eighty-four million, one hundred twenty-two thousand, eight hundred eighty".