80793712281600 has 1728 divisors, whose sum is σ = 322355317939200. Its totient is φ = 19245219840000.

The previous prime is 80793712281599. The next prime is 80793712281617. The reversal of 80793712281600 is 618221739708.

It is a happy number.

80793712281600 is a `hidden beast` number, since 8 + 0 + 7 + 9 + 3 + 7 + 1 + 2 + 28 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14297238775 + ... + 14297244425.

It is an arithmetic number, because the mean of its divisors is an integer number (186548216400).

Almost surely, 2^{80793712281600} is an apocalyptic number.

80793712281600 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 80793712281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161177658969600).

80793712281600 is an abundant number, since it is smaller than the sum of its proper divisors (241561605657600).

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

80793712281600 is a wasteful number, since it uses less digits than its factorization.

80793712281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5802 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 80793712281600 in words is "eighty trillion, seven hundred ninety-three billion, seven hundred twelve million, two hundred eighty-one thousand, six hundred".