8000807993 has 2 divisors, whose sum is σ = 8000807994. Its totient is φ = 8000807992.

The previous prime is 8000807989. The next prime is 8000808017. The reversal of 8000807993 is 3997080008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7897521424 + 103286569 = 88868^2 + 10163^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000807993 - 2² = 8000807989 is a prime.

It is not a weakly prime, because it can be changed into another prime (8000807923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000403996 + 4000403997.

It is an arithmetic number, because the mean of its divisors is an integer number (4000403997).

Almost surely, 2^8000807993 is an apocalyptic number.

It is an amenable number.

8000807993 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000807993 is an equidigital number, since it uses as much as digits as its factorization.

8000807993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 8000807993 is about 89447.2358041320. The cubic root of 8000807993 is about 2000.0673304833.

The spelling of 8000807993 in words is "eight billion, eight hundred seven thousand, nine hundred ninety-three".