680500800 has 504 divisors, whose sum is σ = 2846482496. Its totient is φ = 150958080.

The previous prime is 680500787. The next prime is 680500801. The reversal of 680500800 is 8005086.

680500800 is a `hidden beast` number, since 6 + 80 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (680500801) 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 71 ways as a sum of consecutive naturals, for example, 4334322 + ... + 4334478.

Almost surely, 2^680500800 is an apocalyptic number.

680500800 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 680500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423241248).

680500800 is an abundant number, since it is smaller than the sum of its proper divisors (2165981696).

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

680500800 is a wasteful number, since it uses less digits than its factorization.

680500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 680500800 is about 26086.4102551501. The cubic root of 680500800 is about 879.5817571736.

Adding to 680500800 its reverse (8005086), we get a palindrome (688505886).

The spelling of 680500800 in words is "six hundred eighty million, five hundred thousand, eight hundred".