680030400 has 336 divisors, whose sum is σ = 2623490816. Its totient is φ = 150958080.

The previous prime is 680030389. The next prime is 680030419. The reversal of 680030400 is 4030086.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242927 + ... + 1243473.

Almost surely, 2^680030400 is an apocalyptic number.

680030400 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 680030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311745408).

680030400 is an abundant number, since it is smaller than the sum of its proper divisors (1943460416).

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

680030400 is a wasteful number, since it uses less digits than its factorization.

680030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 680030400 is about 26077.3925076876. The cubic root of 680030400 is about 879.3790385130.

Adding to 680030400 its reverse (4030086), we get a palindrome (684060486).

The spelling of 680030400 in words is "six hundred eighty million, thirty thousand, four hundred".