806761 has 2 divisors, whose sum is σ = 806762. Its totient is φ = 806760.

The previous prime is 806737. The next prime is 806783. The reversal of 806761 is 167608.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 235225 = 756^2 + 485^2 .

It is a cyclic number.

It is not a de Polignac number, because 806761 - 2¹³ = 798569 is a prime.

It is a super-2 number, since 2×806761² = 1301726622242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (806791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403380 + 403381.

It is an arithmetic number, because the mean of its divisors is an integer number (403381).

2⁸⁰⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

806761 is a deficient number, since it is larger than the sum of its proper divisors (1).

806761 is an equidigital number, since it uses as much as digits as its factorization.

806761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 806761 is about 898.1987530608. The cubic root of 806761 is about 93.0925582536.

It can be divided in two parts, 8067 and 61, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 806761 in words is "eight hundred six thousand, seven hundred sixty-one".