678600000 has 504 divisors, whose sum is σ = 2708498520. Its totient is φ = 161280000.

The previous prime is 678599983. The next prime is 678600007. The reversal of 678600000 is 6876.

It can be written as a sum of positive squares in 12 ways, for example, as 664402176 + 14197824 = 25776^2 + 3768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678600007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23399986 + ... + 23400014.

It is an arithmetic number, because the mean of its divisors is an integer number (5374005).

Almost surely, 2^678600000 is an apocalyptic number.

678600000 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 678600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354249260).

678600000 is an abundant number, since it is smaller than the sum of its proper divisors (2029898520).

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

678600000 is a wasteful number, since it uses less digits than its factorization.

678600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 678600000 is about 26049.9520153109. The cubic root of 678600000 is about 878.7620333743.

Adding to 678600000 its reverse (6876), we get a palindrome (678606876).

The spelling of 678600000 in words is "six hundred seventy-eight million, six hundred thousand".