800819907793920 has 1320 divisors, whose sum is σ = 3461342966763264. Its totient is φ = 173410399715328.

The previous prime is 800819907793903. The next prime is 800819907793979. The reversal of 800819907793920 is 29397709918008.

800819907793920 is a `hidden beast` number, since 8 + 0 + 0 + 81 + 9 + 90 + 7 + 79 + 392 + 0 = 666.

It is a super-2 number, since 2×800819907793920² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1047615369 + ... + 1048379511.

Almost surely, 2^{800819907793920} is an apocalyptic number.

800819907793920 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 800819907793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730671483381632).

800819907793920 is an abundant number, since it is smaller than the sum of its proper divisors (2660523058969344).

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

800819907793920 is a wasteful number, since it uses less digits than its factorization.

800819907793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764225 (or 764179 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 800819907793920 in words is "eight hundred trillion, eight hundred nineteen billion, nine hundred seven million, seven hundred ninety-three thousand, nine hundred twenty".