801320417761 has 2 divisors, whose sum is σ = 801320417762. Its totient is φ = 801320417760.

The previous prime is 801320417701. The next prime is 801320417797. The reversal of 801320417761 is 167714023108.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 779899168161 + 21421249600 = 883119^2 + 146360^2 .

It is a cyclic number.

It is not a de Polignac number, because 801320417761 - 2¹⁵ = 801320384993 is a prime.

It is a super-2 number, since 2×801320417761² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (801320417701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400660208880 + 400660208881.

It is an arithmetic number, because the mean of its divisors is an integer number (400660208881).

Almost surely, 2^801320417761 is an apocalyptic number.

It is an amenable number.

801320417761 is a deficient number, since it is larger than the sum of its proper divisors (1).

801320417761 is an equidigital number, since it uses as much as digits as its factorization.

801320417761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 801320417761 in words is "eight hundred one billion, three hundred twenty million, four hundred seventeen thousand, seven hundred sixty-one".