878304 has 48 divisors (see below), whose sum is σ = 2636928. Its totient is φ = 250752.

The previous prime is 878299. The next prime is 878309. The reversal of 878304 is 403878.

878304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (878299) and next prime (878309).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878309) by changing a digit.

878304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (54936).

2⁸⁷⁸³⁰⁴ is an apocalyptic number.

878304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318464).

878304 is an abundant number, since it is smaller than the sum of its proper divisors (1758624).

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

878304 is a wasteful number, since it uses less digits than its factorization.

878304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 878304 is about 937.1787449574. The cubic root of 878304 is about 95.7667950642.

The spelling of 878304 in words is "eight hundred seventy-eight thousand, three hundred four".