876580 has 24 divisors (see below), whose sum is σ = 1887480. Its totient is φ = 341760.

The previous prime is 876569. The next prime is 876581. The reversal of 876580 is 85678.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 876096 = 22^2 + 936^2 .

It is not an unprimeable number, because it can be changed into a prime (876581) by changing a digit.

876580 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 286 + ... + 1354.

It is an arithmetic number, because the mean of its divisors is an integer number (78645).

2⁸⁷⁶⁵⁸⁰ 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 876580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943740).

876580 is an abundant number, since it is smaller than the sum of its proper divisors (1010900).

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

876580 is a wasteful number, since it uses less digits than its factorization.

876580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 876580 is about 936.2585113098. The cubic root of 876580 is about 95.7040946410.

The spelling of 876580 in words is "eight hundred seventy-six thousand, five hundred eighty".