798792583680 has 1920 divisors, whose sum is σ = 3666428333568. Its totient is φ = 155940028416.

The previous prime is 798792583579. The next prime is 798792583691. The reversal of 798792583680 is 86385297897.

798792583680 is a `hidden beast` number, since 7 + 9 + 8 + 7 + 9 + 258 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 798792583599 and 798792583608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2601930087 + ... + 2601930393.

Almost surely, 2^798792583680 is an apocalyptic number.

798792583680 is a gapful number since it is divisible by the number (70) 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 798792583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833214166784).

798792583680 is an abundant number, since it is smaller than the sum of its proper divisors (2867635749888).

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

798792583680 is a wasteful number, since it uses less digits than its factorization.

798792583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 798792583680 in words is "seven hundred ninety-eight billion, seven hundred ninety-two million, five hundred eighty-three thousand, six hundred eighty".