678900 has 72 divisors (see below), whose sum is σ = 2055424. Its totient is φ = 172800.

The previous prime is 678883. The next prime is 678901. The reversal of 678900 is 9876.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678901) by changing a digit.

678900 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 23 ways as a sum of consecutive naturals, for example, 9264 + ... + 9336.

2⁶⁷⁸⁹⁰⁰ is an apocalyptic number.

678900 is a gapful number since it is divisible by the number (60) 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 678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027712).

678900 is an abundant number, since it is smaller than the sum of its proper divisors (1376524).

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

678900 is a wasteful number, since it uses less digits than its factorization.

678900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 678900 is about 823.9538822046. The cubic root of 678900 is about 87.8891510617.

The spelling of 678900 in words is "six hundred seventy-eight thousand, nine hundred".