801790180800 has 672 divisors, whose sum is σ = 3175643412480. Its totient is φ = 173012889600.

The previous prime is 801790180771. The next prime is 801790180823. The reversal of 801790180800 is 8081097108.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195986755 + ... + 195990845.

It is an arithmetic number, because the mean of its divisors is an integer number (4725659840).

Almost surely, 2^801790180800 is an apocalyptic number.

801790180800 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 801790180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587821706240).

801790180800 is an abundant number, since it is smaller than the sum of its proper divisors (2373853231680).

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

801790180800 is a wasteful number, since it uses less digits than its factorization.

801790180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The spelling of 801790180800 in words is "eight hundred one billion, seven hundred ninety million, one hundred eighty thousand, eight hundred".