791217792000 has 528 divisors, whose sum is σ = 2858147855472. Its totient is φ = 210478694400.

The previous prime is 791217791993. The next prime is 791217792049. The reversal of 791217792000 is 297712197.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 225906287616 + 565311504384 = 475296^2 + 751872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844415532 + ... + 844416468.

Almost surely, 2^791217792000 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 791217792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429073927736).

791217792000 is an abundant number, since it is smaller than the sum of its proper divisors (2066930063472).

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

791217792000 is a wasteful number, since it uses less digits than its factorization.

791217792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 791217792000 in words is "seven hundred ninety-one billion, two hundred seventeen million, seven hundred ninety-two thousand".