800830162560 has 192 divisors, whose sum is σ = 2668459560480. Its totient is φ = 204269463552.

The previous prime is 800830162541. The next prime is 800830162589. The reversal of 800830162560 is 65261038008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 621447 + ... + 1409913.

Almost surely, 2^800830162560 is an apocalyptic number.

800830162560 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 800830162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334229780240).

800830162560 is an abundant number, since it is smaller than the sum of its proper divisors (1867629397920).

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

800830162560 is a wasteful number, since it uses less digits than its factorization.

800830162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788535 (or 788500 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 800830162560 in words is "eight hundred billion, eight hundred thirty million, one hundred sixty-two thousand, five hundred sixty".