792297191162880 has 4928 divisors, whose sum is σ = 3364501949061120. Its totient is φ = 177381782323200.

The previous prime is 792297191162821. The next prime is 792297191162881. The reversal of 792297191162880 is 88261191792297.

792297191162880 is a `hidden beast` number, since 7 + 9 + 229 + 7 + 1 + 9 + 116 + 288 + 0 = 666.

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 = 792297191162799 and 792297191162808.

It is not an unprimeable number, because it can be changed into a prime (792297191162881) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1788481243939 + ... + 1788481244381.

Almost surely, 2^{792297191162880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792297191162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682250974530560).

792297191162880 is an abundant number, since it is smaller than the sum of its proper divisors (2572204757898240).

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

792297191162880 is a wasteful number, since it uses less digits than its factorization.

792297191162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 72.

The spelling of 792297191162880 in words is "seven hundred ninety-two trillion, two hundred ninety-seven billion, one hundred ninety-one million, one hundred sixty-two thousand, eight hundred eighty".