678585600 has 1080 divisors, whose sum is σ = 3312163008. Its totient is φ = 132710400.

The previous prime is 678585521. The next prime is 678585619. The reversal of 678585600 is 6585876.

678585600 is a `hidden beast` number, since 6 + 7 + 8 + 585 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39916792 + ... + 39916808.

Almost surely, 2^678585600 is an apocalyptic number.

678585600 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 678585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656081504).

678585600 is an abundant number, since it is smaller than the sum of its proper divisors (2633577408).

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

678585600 is a wasteful number, since it uses less digits than its factorization.

678585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 678585600 is about 26049.6756217808. The cubic root of 678585600 is about 878.7558175070.

The spelling of 678585600 in words is "six hundred seventy-eight million, five hundred eighty-five thousand, six hundred".