680839516900 has 81 divisors (see below), whose sum is σ = 1493072782929. Its totient is φ = 269480856960.

The previous prime is 680839516897. The next prime is 680839516927. The reversal of 680839516900 is 9615938086.

It is a happy number.

The square root of 680839516900 is 825130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 220819167396 + 460020349504 = 469914^2 + 678248^2 .

It is a super-2 number, since 2×680839516900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 899391322 + ... + 899392078.

Almost surely, 2^680839516900 is an apocalyptic number.

680839516900 is the 825130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680839516900

680839516900 is an abundant number, since it is smaller than the sum of its proper divisors (812233266029).

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

680839516900 is an equidigital number, since it uses as much as digits as its factorization.

680839516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 680839516900 in words is "six hundred eighty billion, eight hundred thirty-nine million, five hundred sixteen thousand, nine hundred".