678258800 has 60 divisors (see below), whose sum is σ = 1635791136. Its totient is φ = 270259200.

The previous prime is 678258797. The next prime is 678258821. The reversal of 678258800 is 8852876.

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 11 ways as a sum of consecutive naturals, for example, 105272 + ... + 111528.

Almost surely, 2^678258800 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 678258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817895568).

678258800 is an abundant number, since it is smaller than the sum of its proper divisors (957532336).

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

678258800 is a wasteful number, since it uses less digits than its factorization.

678258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 678258800 is about 26043.4022354991. The cubic root of 678258800 is about 878.6147282010.

The spelling of 678258800 in words is "six hundred seventy-eight million, two hundred fifty-eight thousand, eight hundred".