801226944000 has 640 divisors, whose sum is σ = 3382754918400. Its totient is φ = 183134822400.

The previous prime is 801226943987. The next prime is 801226944079. The reversal of 801226944000 is 449622108.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12062881 + ... + 12129119.

It is an arithmetic number, because the mean of its divisors is an integer number (5285554560).

Almost surely, 2^801226944000 is an apocalyptic number.

801226944000 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 801226944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691377459200).

801226944000 is an abundant number, since it is smaller than the sum of its proper divisors (2581527974400).

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

801226944000 is an equidigital number, since it uses as much as digits as its factorization.

801226944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66288 (or 66256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 801226944000 in words is "eight hundred one billion, two hundred twenty-six million, nine hundred forty-four thousand".