678601800 has 144 divisors (see below), whose sum is σ = 2363546640. Its totient is φ = 180947520.

The previous prime is 678601787. The next prime is 678601829. The reversal of 678601800 is 8106876.

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

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41619 + ... + 55581.

Almost surely, 2^678601800 is an apocalyptic number.

678601800 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 678601800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181773320).

678601800 is an abundant number, since it is smaller than the sum of its proper divisors (1684944840).

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

678601800 is a wasteful number, since it uses less digits than its factorization.

678601800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994 (or 13973 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 678601800 is about 26049.9865642960. The cubic root of 678601800 is about 878.7628103516.

The spelling of 678601800 in words is "six hundred seventy-eight million, six hundred one thousand, eight hundred".