800475761 has 2 divisors, whose sum is σ = 800475762. Its totient is φ = 800475760.

The previous prime is 800475743. The next prime is 800475773. The reversal of 800475761 is 167574008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 563777536 + 236698225 = 23744^2 + 15385^2 .

It is a cyclic number.

It is not a de Polignac number, because 800475761 - 2¹⁴ = 800459377 is a prime.

It is a super-2 number, since 2×800475761² = 1281522887897058242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (800475061) 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, 400237880 + 400237881.

It is an arithmetic number, because the mean of its divisors is an integer number (400237881).

Almost surely, 2^800475761 is an apocalyptic number.

It is an amenable number.

800475761 is a deficient number, since it is larger than the sum of its proper divisors (1).

800475761 is an equidigital number, since it uses as much as digits as its factorization.

800475761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 800475761 is about 28292.6803431559. The cubic root of 800475761 is about 928.5017541669.

The spelling of 800475761 in words is "eight hundred million, four hundred seventy-five thousand, seven hundred sixty-one".