876180 has 48 divisors (see below), whose sum is σ = 2600640. Its totient is φ = 219648.

The previous prime is 876149. The next prime is 876181. The reversal of 876180 is 81678.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 876180.

It is not an unprimeable number, because it can be changed into a prime (876181) 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 in 15 ways as a sum of consecutive naturals, for example, 591 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (54180).

2⁸⁷⁶¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300320).

876180 is an abundant number, since it is smaller than the sum of its proper divisors (1724460).

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

876180 is a wasteful number, since it uses less digits than its factorization.

876180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 876180 is about 936.0448707193. The cubic root of 876180 is about 95.6895352313.

The spelling of 876180 in words is "eight hundred seventy-six thousand, one hundred eighty".