80393164800 has 864 divisors, whose sum is σ = 304789867200. Its totient is φ = 18632540160.

The previous prime is 80393164783. The next prime is 80393164837. The reversal of 80393164800 is 846139308.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 493209519 + ... + 493209681.

It is an arithmetic number, because the mean of its divisors is an integer number (352766050).

Almost surely, 2^80393164800 is an apocalyptic number.

80393164800 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 80393164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152394933600).

80393164800 is an abundant number, since it is smaller than the sum of its proper divisors (224396702400).

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

80393164800 is a wasteful number, since it uses less digits than its factorization.

80393164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 80393164800 in words is "eighty billion, three hundred ninety-three million, one hundred sixty-four thousand, eight hundred".