791926227072 has 216 divisors, whose sum is σ = 2307273146685. Its totient is φ = 260723414016.

The previous prime is 791926227023. The next prime is 791926227073. The reversal of 791926227072 is 270722629197.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

791926227072 is a `hidden beast` number, since 7 + 9 + 1 + 9 + 2 + 622 + 7 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 756440709696 + 35485517376 = 869736^2 + 188376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=629256.

It is not an unprimeable number, because it can be changed into a prime (791926227073) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4742073133 + ... + 4742073299.

Almost surely, 2^791926227072 is an apocalyptic number.

791926227072 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 791926227072

791926227072 is an abundant number, since it is smaller than the sum of its proper divisors (1515346919613).

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

791926227072 is an equidigital number, since it uses as much as digits as its factorization.

791926227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 791926227072 in words is "seven hundred ninety-one billion, nine hundred twenty-six million, two hundred twenty-seven thousand, seventy-two".