678397200 has 120 divisors (see below), whose sum is σ = 2340350208. Its totient is φ = 166986240.

The previous prime is 678397171. The next prime is 678397207. The reversal of 678397200 is 2793876.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (678397207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6144 + ... + 37343.

Almost surely, 2^678397200 is an apocalyptic number.

678397200 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 678397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170175104).

678397200 is an abundant number, since it is smaller than the sum of its proper divisors (1661953008).

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

678397200 is a wasteful number, since it uses less digits than its factorization.

678397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43521 (or 43510 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 678397200 is about 26046.0592028813. The cubic root of 678397200 is about 878.6744851396.

The spelling of 678397200 in words is "six hundred seventy-eight million, three hundred ninety-seven thousand, two hundred".