678888 has 64 divisors (see below), whose sum is σ = 2160000. Its totient is φ = 193536.

The previous prime is 678883. The next prime is 678901. The reversal of 678888 is 888876.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 678888.

It is not an unprimeable number, because it can be changed into a prime (678883) by changing a digit.

678888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1288 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2⁶⁷⁸⁸⁸⁸ 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 678888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080000).

678888 is an abundant number, since it is smaller than the sum of its proper divisors (1481112).

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

678888 is a wasteful number, since it uses less digits than its factorization.

678888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 678888 is about 823.9466002114. The cubic root of 678888 is about 87.8886332260. Note that the first 3 decimals are identical.

It can be divided in two parts, 67888 and 8, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 678888 in words is "six hundred seventy-eight thousand, eight hundred eighty-eight".