793950676992 has 576 divisors, whose sum is σ = 2553736610880. Its totient is φ = 235634688000.

The previous prime is 793950676931. The next prime is 793950676993. The reversal of 793950676992 is 299676059397.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 793950676992.

It is not an unprimeable number, because it can be changed into a prime (793950676993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2805479283 + ... + 2805479565.

It is an arithmetic number, because the mean of its divisors is an integer number (4433570505).

Almost surely, 2^793950676992 is an apocalyptic number.

793950676992 is a gapful number since it is divisible by the number (72) 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 793950676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276868305440).

793950676992 is an abundant number, since it is smaller than the sum of its proper divisors (1759785933888).

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

793950676992 is a wasteful number, since it uses less digits than its factorization.

793950676992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 347208120, while the sum is 72.

The spelling of 793950676992 in words is "seven hundred ninety-three billion, nine hundred fifty million, six hundred seventy-six thousand, nine hundred ninety-two".