800091855360 has 640 divisors, whose sum is σ = 3253591756800. Its totient is φ = 182563061760.

The previous prime is 800091855347. The next prime is 800091855403. The reversal of 800091855360 is 63558190008.

800091855360 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 91 + 8 + 553 + 6 + 0 = 666.

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 (45).

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, 392393221 + ... + 392395259.

It is an arithmetic number, because the mean of its divisors is an integer number (5083737120).

Almost surely, 2^800091855360 is an apocalyptic number.

800091855360 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 800091855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626795878400).

800091855360 is an abundant number, since it is smaller than the sum of its proper divisors (2453499901440).

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

800091855360 is a wasteful number, since it uses less digits than its factorization.

800091855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 800091855360 in words is "eight hundred billion, ninety-one million, eight hundred fifty-five thousand, three hundred sixty".