800541761 has 2 divisors, whose sum is σ = 800541762. Its totient is φ = 800541760.

The previous prime is 800541719. The next prime is 800541767. The reversal of 800541761 is 167145008.

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., 409293361 + 391248400 = 20231^2 + 19780^2 .

It is a cyclic number.

It is not a de Polignac number, because 800541761 - 2¹⁸ = 800279617 is a prime.

It is a super-2 number, since 2×800541761² = 1281734222209962242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (800541767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400270880 + 400270881.

It is an arithmetic number, because the mean of its divisors is an integer number (400270881).

Almost surely, 2^800541761 is an apocalyptic number.

It is an amenable number.

800541761 is a deficient number, since it is larger than the sum of its proper divisors (1).

800541761 is an equidigital number, since it uses as much as digits as its factorization.

800541761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 800541761 is about 28293.8466985315. The cubic root of 800541761 is about 928.5272720879.

Adding to 800541761 its reverse (167145008), we get a palindrome (967686769).

The spelling of 800541761 in words is "eight hundred million, five hundred forty-one thousand, seven hundred sixty-one".