876980 has 24 divisors (see below), whose sum is σ = 1983912. Its totient is φ = 323712.

The previous prime is 876971. The next prime is 877003. The reversal of 876980 is 89678.

876980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 178084 + 698896 = 422^2 + 836^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 876980.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427 + ... + 1946.

It is an arithmetic number, because the mean of its divisors is an integer number (82663).

2⁸⁷⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

876980 is an abundant number, since it is smaller than the sum of its proper divisors (1106932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

876980 is a wasteful number, since it uses less digits than its factorization.

876980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 876980 is about 936.4721031616. The cubic root of 876980 is about 95.7186496223.

It can be divided in two parts, 8769 and 80, that multiplied together give a triangular number (701520 = T₁₁₈₄).

The spelling of 876980 in words is "eight hundred seventy-six thousand, nine hundred eighty".