801093196800 has 528 divisors, whose sum is σ = 3168169411680. Its totient is φ = 197189959680.

The previous prime is 801093196763. The next prime is 801093196811. The reversal of 801093196800 is 8691390108.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8941024 + ... + 9030176.

Almost surely, 2^801093196800 is an apocalyptic number.

801093196800 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 801093196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584084705840).

801093196800 is an abundant number, since it is smaller than the sum of its proper divisors (2367076214880).

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

801093196800 is a wasteful number, since it uses less digits than its factorization.

801093196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89205 (or 89176 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 801093196800 in words is "eight hundred one billion, ninety-three million, one hundred ninety-six thousand, eight hundred".