681796800 has 252 divisors, whose sum is σ = 2450546280. Its totient is φ = 179773440.

The previous prime is 681796793. The next prime is 681796811. The reversal of 681796800 is 8697186.

It is a happy number.

It is a super-3 number, since 3×681796800³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1626991 + ... + 1627409.

It is an arithmetic number, because the mean of its divisors is an integer number (9724390).

Almost surely, 2^681796800 is an apocalyptic number.

681796800 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 681796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225273140).

681796800 is an abundant number, since it is smaller than the sum of its proper divisors (1768749480).

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

681796800 is a wasteful number, since it uses less digits than its factorization.

681796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 681796800 is about 26111.2389594979. The cubic root of 681796800 is about 880.1397849570.

The spelling of 681796800 in words is "six hundred eighty-one million, seven hundred ninety-six thousand, eight hundred".