678618000 has 400 divisors, whose sum is σ = 2527873920. Its totient is φ = 175392000.

The previous prime is 678617963. The next prime is 678618047. The reversal of 678618000 is 816876.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9557965 + ... + 9558035.

Almost surely, 2^678618000 is an apocalyptic number.

678618000 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 678618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263936960).

678618000 is an abundant number, since it is smaller than the sum of its proper divisors (1849255920).

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

678618000 is a wasteful number, since it uses less digits than its factorization.

678618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 678618000 is about 26050.2975030997. The cubic root of 678618000 is about 878.7698030849.

The spelling of 678618000 in words is "six hundred seventy-eight million, six hundred eighteen thousand".