876384 has 72 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 273408.

The previous prime is 876373. The next prime is 876431. The reversal of 876384 is 483678.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4807 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁸⁷⁶³⁸⁴ 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 876384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

876384 is an abundant number, since it is smaller than the sum of its proper divisors (1777176).

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

876384 is a wasteful number, since it uses less digits than its factorization.

876384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 876384 is about 936.1538335124. The cubic root of 876384 is about 95.6969610838.

The spelling of 876384 in words is "eight hundred seventy-six thousand, three hundred eighty-four".