801072695808 has 1440 divisors, whose sum is σ = 3170004963840. Its totient is φ = 195910410240.

The previous prime is 801072695779. The next prime is 801072695849. The reversal of 801072695808 is 808596270108.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4914556335 + ... + 4914556497.

It is an arithmetic number, because the mean of its divisors is an integer number (2201392336).

Almost surely, 2^801072695808 is an apocalyptic number.

801072695808 is a gapful number since it is divisible by the number (88) 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 801072695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585002481920).

801072695808 is an abundant number, since it is smaller than the sum of its proper divisors (2368932268032).

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

801072695808 is an equidigital number, since it uses as much as digits as its factorization.

801072695808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 801072695808 in words is "eight hundred one billion, seventy-two million, six hundred ninety-five thousand, eight hundred eight".