678304 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 294400.

The previous prime is 678299. The next prime is 678329. The reversal of 678304 is 403876.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14409 + ... + 14455.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁶⁷⁸³⁰⁴ 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 678304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

678304 is an abundant number, since it is smaller than the sum of its proper divisors (845792).

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

678304 is a wasteful number, since it uses less digits than its factorization.

678304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 678304 is about 823.5921320654. The cubic root of 678304 is about 87.8634245089.

The spelling of 678304 in words is "six hundred seventy-eight thousand, three hundred four".