800115345792 has 576 divisors, whose sum is σ = 2940995388240. Its totient is φ = 215150100480.

The previous prime is 800115345779. The next prime is 800115345803. The reversal of 800115345792 is 297543511008.

800115345792 is a `hidden beast` number, since 80 + 0 + 115 + 3 + 457 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25894192 + ... + 25925072.

Almost surely, 2^800115345792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800115345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470497694120).

800115345792 is an abundant number, since it is smaller than the sum of its proper divisors (2140880042448).

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

800115345792 is a wasteful number, since it uses less digits than its factorization.

800115345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30941 (or 30910 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 800115345792 in words is "eight hundred billion, one hundred fifteen million, three hundred forty-five thousand, seven hundred ninety-two".