680100300 has 360 divisors, whose sum is σ = 2552180400. Its totient is φ = 154828800.

The previous prime is 680100287. The next prime is 680100301. The reversal of 680100300 is 3001086.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (680100301) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1514476 + ... + 1514924.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2^680100300 is an apocalyptic number.

680100300 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 680100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276090200).

680100300 is an abundant number, since it is smaller than the sum of its proper divisors (1872080100).

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

680100300 is a wasteful number, since it uses less digits than its factorization.

680100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 680100300 is about 26078.7327146087. The cubic root of 680100300 is about 879.4091677978.

Adding to 680100300 its reverse (3001086), we get a palindrome (683101386).

The spelling of 680100300 in words is "six hundred eighty million, one hundred thousand, three hundred".