678607200 has 288 divisors, whose sum is σ = 2488903200. Its totient is φ = 178421760.

The previous prime is 678607199. The next prime is 678607201. The reversal of 678607200 is 2706876.

It is an interprime number because it is at equal distance from previous prime (678607199) and next prime (678607201).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678607201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1922224 + ... + 1922576.

It is an arithmetic number, because the mean of its divisors is an integer number (8642025).

Almost surely, 2^678607200 is an apocalyptic number.

678607200 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 678607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244451600).

678607200 is an abundant number, since it is smaller than the sum of its proper divisors (1810296000).

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

678607200 is a wasteful number, since it uses less digits than its factorization.

678607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 678607200 is about 26050.0902109762. The cubic root of 678607200 is about 878.7651412750.

The spelling of 678607200 in words is "six hundred seventy-eight million, six hundred seven thousand, two hundred".