791017920000 has 3200 divisors, whose sum is σ = 3865702579200. Its totient is φ = 154828800000.

The previous prime is 791017919999. The next prime is 791017920031. The reversal of 791017920000 is 29710197.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×791017920000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19293119980 + ... + 19293120020.

It is an arithmetic number, because the mean of its divisors is an integer number (1208032056).

Almost surely, 2^791017920000 is an apocalyptic number.

791017920000 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 791017920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932851289600).

791017920000 is an abundant number, since it is smaller than the sum of its proper divisors (3074684659200).

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

791017920000 is a wasteful number, since it uses less digits than its factorization.

791017920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 791017920000 in words is "seven hundred ninety-one billion, seventeen million, nine hundred twenty thousand".