678882800 has 60 divisors (see below), whose sum is σ = 1635583560. Its totient is φ = 270792960.

The previous prime is 678882791. The next prime is 678882803. The reversal of 678882800 is 8288876.

It is a super-2 number, since 2×678882800² = 921763712271680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678882803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153419 + ... + 157781.

It is an arithmetic number, because the mean of its divisors is an integer number (27259726).

Almost surely, 2^678882800 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 678882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817791780).

678882800 is an abundant number, since it is smaller than the sum of its proper divisors (956700760).

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

678882800 is a wasteful number, since it uses less digits than its factorization.

678882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The square root of 678882800 is about 26055.3794829398. The cubic root of 678882800 is about 878.8840882860.

The spelling of 678882800 in words is "six hundred seventy-eight million, eight hundred eighty-two thousand, eight hundred".