792966343680 has 2816 divisors, whose sum is σ = 3735300096000. Its totient is φ = 155175616512.

The previous prime is 792966343679. The next prime is 792966343681. The reversal of 792966343680 is 86343669297.

It is an interprime number because it is at equal distance from previous prime (792966343679) and next prime (792966343681).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (792966343681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13440107491 + ... + 13440107549.

It is an arithmetic number, because the mean of its divisors is an integer number (1326456000).

Almost surely, 2^792966343680 is an apocalyptic number.

792966343680 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 792966343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867650048000).

792966343680 is an abundant number, since it is smaller than the sum of its proper divisors (2942333752320).

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

792966343680 is a wasteful number, since it uses less digits than its factorization.

792966343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 792966343680 in words is "seven hundred ninety-two billion, nine hundred sixty-six million, three hundred forty-three thousand, six hundred eighty".