678825 has 36 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 309600.

The previous prime is 678823. The next prime is 678829. The reversal of 678825 is 528876.

It is not a de Polignac number, because 678825 - 2¹ = 678823 is a prime.

It is a Curzon number.

678825 is a lucky number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 678825.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 678825.

It is not an unprimeable number, because it can be changed into a prime (678823) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1360 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2⁶⁷⁸⁸²⁵ is an apocalyptic number.

It is an amenable number.

678825 is an abundant number, since it is smaller than the sum of its proper divisors (713943).

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

678825 is a wasteful number, since it uses less digits than its factorization.

678825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 678825 is about 823.9083686916. The cubic root of 678825 is about 87.8859144883.

The spelling of 678825 in words is "six hundred seventy-eight thousand, eight hundred twenty-five".