876680 has 64 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 288000.

The previous prime is 876677. The next prime is 876719. The reversal of 876680 is 86678.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 876680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8630 + ... + 8730.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁸⁷⁶⁶⁸⁰ 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 876680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

876680 is an abundant number, since it is smaller than the sum of its proper divisors (1473400).

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

876680 is a wasteful number, since it uses less digits than its factorization.

876680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 876680 is about 936.3119138407. The cubic root of 876680 is about 95.7077338014.

The spelling of 876680 in words is "eight hundred seventy-six thousand, six hundred eighty".