800796603461 has 2 divisors, whose sum is σ = 800796603462. Its totient is φ = 800796603460.

The previous prime is 800796603443. The next prime is 800796603463. The reversal of 800796603461 is 164306697008.

800796603461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 631222305025 + 169574298436 = 794495^2 + 411794^2 .

It is a cyclic number.

It is not a de Polignac number, because 800796603461 - 2²⁶ = 800729494597 is a prime.

It is a super-2 number, since 2×800796603461² (a number of 25 digits) contains 22 as substring.

Together with 800796603463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800796603463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400398301730 + 400398301731.

It is an arithmetic number, because the mean of its divisors is an integer number (400398301731).

Almost surely, 2^800796603461 is an apocalyptic number.

It is an amenable number.

800796603461 is a deficient number, since it is larger than the sum of its proper divisors (1).

800796603461 is an equidigital number, since it uses as much as digits as its factorization.

800796603461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 800796603461 in words is "eight hundred billion, seven hundred ninety-six million, six hundred three thousand, four hundred sixty-one".