876300 has 72 divisors (see below), whose sum is σ = 2666496. Its totient is φ = 221760.

The previous prime is 876287. The next prime is 876301. The reversal of 876300 is 3678.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 876300.

It is not an unprimeable number, because it can be changed into a prime (876301) 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 23 ways as a sum of consecutive naturals, for example, 6837 + ... + 6963.

2⁸⁷⁶³⁰⁰ 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 876300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333248).

876300 is an abundant number, since it is smaller than the sum of its proper divisors (1790196).

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

876300 is a wasteful number, since it uses less digits than its factorization.

876300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 876300 is about 936.1089680160. The cubic root of 876300 is about 95.6939035194.

Adding to 876300 its reverse (3678), we get a palindrome (879978).

It can be divided in two parts, 876 and 300, that added together give a triangular number (1176 = T₄₈).

The spelling of 876300 in words is "eight hundred seventy-six thousand, three hundred".