801881024000 has 640 divisors, whose sum is σ = 2435951232000. Its totient is φ = 257015808000.

The previous prime is 801881023987. The next prime is 801881024041. The reversal of 801881024000 is 420188108.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1606975751 + ... + 1606976249.

It is an arithmetic number, because the mean of its divisors is an integer number (3806173800).

Almost surely, 2^801881024000 is an apocalyptic number.

801881024000 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 801881024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217975616000).

801881024000 is an abundant number, since it is smaller than the sum of its proper divisors (1634070208000).

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

801881024000 is a wasteful number, since it uses less digits than its factorization.

801881024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 801881024000 in words is "eight hundred one billion, eight hundred eighty-one million, twenty-four thousand".