80084160 has 448 divisors, whose sum is σ = 327720960. Its totient is φ = 18247680.

The previous prime is 80084149. The next prime is 80084203. The reversal of 80084160 is 6148008.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 2583345 + ... + 2583375.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 2^80084160 is an apocalyptic number.

80084160 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 80084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

80084160 is an abundant number, since it is smaller than the sum of its proper divisors (247636800).

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

80084160 is a wasteful number, since it uses less digits than its factorization.

80084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 80084160 is about 8948.9753603415. The cubic root of 80084160 is about 431.0379827387.

The spelling of 80084160 in words is "eighty million, eighty-four thousand, one hundred sixty".