681276800 has 96 divisors (see below), whose sum is σ = 1692618600. Its totient is φ = 270950400.

The previous prime is 681276733. The next prime is 681276809. The reversal of 681276800 is 8672186.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681276809) 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 11 ways as a sum of consecutive naturals, for example, 674696 + ... + 675704.

Almost surely, 2^681276800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846309300).

681276800 is an abundant number, since it is smaller than the sum of its proper divisors (1011341800).

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

681276800 is a wasteful number, since it uses less digits than its factorization.

681276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 681276800 is about 26101.2796621162. The cubic root of 681276800 is about 879.9159699378.

The spelling of 681276800 in words is "six hundred eighty-one million, two hundred seventy-six thousand, eight hundred".