800921079360 has 336 divisors, whose sum is σ = 2903716775232. Its totient is φ = 210076416000.

The previous prime is 800921079349. The next prime is 800921079367. The reversal of 800921079360 is 63970129008.

800921079360 is a `hidden beast` number, since 8 + 0 + 0 + 9 + 210 + 79 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (800921079367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4658935 + ... + 4827785.

It is an arithmetic number, because the mean of its divisors is an integer number (8642014212).

Almost surely, 2^800921079360 is an apocalyptic number.

800921079360 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 800921079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451858387616).

800921079360 is an abundant number, since it is smaller than the sum of its proper divisors (2102795695872).

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

800921079360 is a wasteful number, since it uses less digits than its factorization.

800921079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168944 (or 168922 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 800921079360 in words is "eight hundred billion, nine hundred twenty-one million, seventy-nine thousand, three hundred sixty".