876761 has 2 divisors, whose sum is σ = 876762. Its totient is φ = 876760.

The previous prime is 876751. The next prime is 876769. The reversal of 876761 is 167678.

876761 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., 866761 + 10000 = 931^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 876761 - 2¹⁸ = 614617 is a prime.

It is a super-3 number, since 3×876761³ = 2021924453336097243, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (876769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 438380 + 438381.

It is an arithmetic number, because the mean of its divisors is an integer number (438381).

2⁸⁷⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

876761 is a deficient number, since it is larger than the sum of its proper divisors (1).

876761 is an equidigital number, since it uses as much as digits as its factorization.

876761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 35.

The square root of 876761 is about 936.3551676581. The cubic root of 876761 is about 95.7106813184.

The spelling of 876761 in words is "eight hundred seventy-six thousand, seven hundred sixty-one".