678800 has 30 divisors (see below), whose sum is σ = 1631778. Its totient is φ = 271360.

The previous prime is 678779. The next prime is 678809. The reversal of 678800 is 8876.

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 495616 = 428^2 + 704^2 .

It is not an unprimeable number, because it can be changed into a prime (678809) by changing a digit.

678800 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 5 ways as a sum of consecutive naturals, for example, 449 + ... + 1248.

2⁶⁷⁸⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

678800 is an abundant number, since it is smaller than the sum of its proper divisors (952978).

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

678800 is a wasteful number, since it uses less digits than its factorization.

678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 678800 is about 823.8931969618. The cubic root of 678800 is about 87.8848355775.

The spelling of 678800 in words is "six hundred seventy-eight thousand, eight hundred".