80300945890800 has 1440 divisors, whose sum is σ = 316662169824000. Its totient is φ = 18721522483200.

The previous prime is 80300945890777. The next prime is 80300945890873. The reversal of 80300945890800 is 809854900308.

It is a happy number.

80300945890800 is a `hidden beast` number, since 80 + 30 + 0 + 9 + 458 + 9 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31626995931 + ... + 31626998469.

It is an arithmetic number, because the mean of its divisors is an integer number (219904284600).

Almost surely, 2^{80300945890800} is an apocalyptic number.

80300945890800 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 80300945890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158331084912000).

80300945890800 is an abundant number, since it is smaller than the sum of its proper divisors (236361223933200).

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

80300945890800 is a wasteful number, since it uses less digits than its factorization.

80300945890800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 80300945890800 in words is "eighty trillion, three hundred billion, nine hundred forty-five million, eight hundred ninety thousand, eight hundred".