80982805200 has 240 divisors, whose sum is σ = 286584038400. Its totient is φ = 19383436800.

The previous prime is 80982805073. The next prime is 80982805217. The reversal of 80982805200 is 250828908.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×80982805200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003971 + ... + 1081629.

It is an arithmetic number, because the mean of its divisors is an integer number (1194100160).

Almost surely, 2^80982805200 is an apocalyptic number.

80982805200 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 80982805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143292019200).

80982805200 is an abundant number, since it is smaller than the sum of its proper divisors (205601233200).

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

80982805200 is a wasteful number, since it uses less digits than its factorization.

80982805200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77770 (or 77759 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 80982805200 in words is "eighty billion, nine hundred eighty-two million, eight hundred five thousand, two hundred".