8000800961 has 2 divisors, whose sum is σ = 8000800962. Its totient is φ = 8000800960.

The previous prime is 8000800883. The next prime is 8000801033. The reversal of 8000800961 is 1690080008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7520358400 + 480442561 = 86720^2 + 21919^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000800961 - 2²⁶ = 7933692097 is a prime.

It is not a weakly prime, because it can be changed into another prime (8000800061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000400480 + 4000400481.

It is an arithmetic number, because the mean of its divisors is an integer number (4000400481).

Almost surely, 2^8000800961 is an apocalyptic number.

It is an amenable number.

8000800961 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000800961 is an equidigital number, since it uses as much as digits as its factorization.

8000800961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 8000800961 is about 89447.1964960333. The cubic root of 8000800961 is about 2000.0667445226.

Adding to 8000800961 its reverse (1690080008), we get a palindrome (9690880969).

The spelling of 8000800961 in words is "eight billion, eight hundred thousand, nine hundred sixty-one".