876852 has 48 divisors (see below), whose sum is σ = 2378880. Its totient is φ = 278784.

The previous prime is 876851. The next prime is 876853. The reversal of 876852 is 258678.

It is an interprime number because it is at equal distance from previous prime (876851) and next prime (876853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8⁴ + 7⁷ + 8⁵ + 6² + 5² + 2¹⁴ .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2308 + ... + 2660.

It is an arithmetic number, because the mean of its divisors is an integer number (49560).

2⁸⁷⁶⁸⁵² 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 876852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189440).

876852 is an abundant number, since it is smaller than the sum of its proper divisors (1502028).

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

876852 is a wasteful number, since it uses less digits than its factorization.

876852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 876852 is about 936.4037590698. The cubic root of 876852 is about 95.7139925099.

It can be divided in two parts, 876 and 852, that added together give a cube (1728 = 12³).

The spelling of 876852 in words is "eight hundred seventy-six thousand, eight hundred fifty-two".