801075811200 has 1536 divisors, whose sum is σ = 3371288985600. Its totient is φ = 163034726400.

The previous prime is 801075811199. The next prime is 801075811201. The reversal of 801075811200 is 2118570108.

It is an interprime number because it is at equal distance from previous prime (801075811199) and next prime (801075811201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801075811201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1464489327 + ... + 1464489873.

It is an arithmetic number, because the mean of its divisors is an integer number (2194849600).

Almost surely, 2^801075811200 is an apocalyptic number.

801075811200 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 801075811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685644492800).

801075811200 is an abundant number, since it is smaller than the sum of its proper divisors (2570213174400).

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

801075811200 is a wasteful number, since it uses less digits than its factorization.

801075811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The spelling of 801075811200 in words is "eight hundred one billion, seventy-five million, eight hundred eleven thousand, two hundred".