80164980720 has 1120 divisors, whose sum is σ = 327879014400. Its totient is φ = 18027878400.

The previous prime is 80164980677. The next prime is 80164980739. The reversal of 80164980720 is 2708946108.

80164980720 is a `hidden beast` number, since 80 + 16 + 498 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 576726411 + ... + 576726549.

It is an arithmetic number, because the mean of its divisors is an integer number (292749120).

Almost surely, 2^80164980720 is an apocalyptic number.

80164980720 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 80164980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163939507200).

80164980720 is an abundant number, since it is smaller than the sum of its proper divisors (247714033680).

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

80164980720 is a wasteful number, since it uses less digits than its factorization.

80164980720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 80164980720 in words is "eighty billion, one hundred sixty-four million, nine hundred eighty thousand, seven hundred twenty".