800968560 has 320 divisors, whose sum is σ = 3119800320. Its totient is φ = 165749760.

The previous prime is 800968559. The next prime is 800968577. The reversal of 800968560 is 65869008.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 733615 + ... + 734705.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2^800968560 is an apocalyptic number.

800968560 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 800968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

800968560 is an abundant number, since it is smaller than the sum of its proper divisors (2318831760).

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

800968560 is a wasteful number, since it uses less digits than its factorization.

800968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 800968560 is about 28301.3879518302. The cubic root of 800968560 is about 928.6922537394.

The spelling of 800968560 in words is "eight hundred million, nine hundred sixty-eight thousand, five hundred sixty".