801335808000 has 2496 divisors, whose sum is σ = 3741386688000. Its totient is φ = 169073049600.

The previous prime is 801335807981. The next prime is 801335808023. The reversal of 801335808000 is 808533108.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61641215994 + ... + 61641216006.

It is an arithmetic number, because the mean of its divisors is an integer number (1498953000).

Almost surely, 2^801335808000 is an apocalyptic number.

801335808000 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 801335808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870693344000).

801335808000 is an abundant number, since it is smaller than the sum of its proper divisors (2940050880000).

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

801335808000 is an equidigital number, since it uses as much as digits as its factorization.

801335808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 801335808000 in words is "eight hundred one billion, three hundred thirty-five million, eight hundred eight thousand".