877761 has 12 divisors (see below), whose sum is σ = 1342692. Its totient is φ = 550656.

The previous prime is 877739. The next prime is 877771. The reversal of 877761 is 167778.

It can be written as a sum of positive squares in 2 ways, for example, as 269361 + 608400 = 519^2 + 780^2 .

It is not a de Polignac number, because 877761 - 2¹⁸ = 615617 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (877771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2716 + ... + 3021.

It is an arithmetic number, because the mean of its divisors is an integer number (111891).

2⁸⁷⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

877761 is a deficient number, since it is larger than the sum of its proper divisors (464931).

877761 is a wasteful number, since it uses less digits than its factorization.

877761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5757 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 877761 is about 936.8890008961. The cubic root of 877761 is about 95.7470554714.

The spelling of 877761 in words is "eight hundred seventy-seven thousand, seven hundred sixty-one".