8079922843200 has 2688 divisors, whose sum is σ = 33944927385600. Its totient is φ = 1856180551680.

The previous prime is 8079922843193. The next prime is 8079922843231. The reversal of 8079922843200 is 23482299708.

It is a happy number.

8079922843200 is a `hidden beast` number, since 8 + 0 + 7 + 99 + 228 + 4 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75513297547 + ... + 75513297653.

It is an arithmetic number, because the mean of its divisors is an integer number (12628321200).

Almost surely, 2^{8079922843200} is an apocalyptic number.

8079922843200 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 8079922843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972463692800).

8079922843200 is an abundant number, since it is smaller than the sum of its proper divisors (25865004542400).

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

8079922843200 is a wasteful number, since it uses less digits than its factorization.

8079922843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8079922843200 in words is "eight trillion, seventy-nine billion, nine hundred twenty-two million, eight hundred forty-three thousand, two hundred".