678297600 has 324 divisors, whose sum is σ = 2535447096. Its totient is φ = 173015040.

The previous prime is 678297547. The next prime is 678297601. The reversal of 678297600 is 6792876.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678297601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29491189 + ... + 29491211.

It is an arithmetic number, because the mean of its divisors is an integer number (7825454).

Almost surely, 2^678297600 is an apocalyptic number.

678297600 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 678297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267723548).

678297600 is an abundant number, since it is smaller than the sum of its proper divisors (1857149496).

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

678297600 is an equidigital number, since it uses as much as digits as its factorization.

678297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 678297600 is about 26044.1471352010. The cubic root of 678297600 is about 878.6314816887.

The spelling of 678297600 in words is "six hundred seventy-eight million, two hundred ninety-seven thousand, six hundred".