680944800 has 288 divisors, whose sum is σ = 2371723200. Its totient is φ = 169205760.

The previous prime is 680944793. The next prime is 680944807. The reversal of 680944800 is 8449086.

It is an interprime number because it is at equal distance from previous prime (680944793) and next prime (680944807).

It is a super-3 number, since 3×680944800³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (680944807) 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 47 ways as a sum of consecutive naturals, for example, 4970332 + ... + 4970468.

It is an arithmetic number, because the mean of its divisors is an integer number (8235150).

Almost surely, 2^680944800 is an apocalyptic number.

680944800 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 680944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185861600).

680944800 is an abundant number, since it is smaller than the sum of its proper divisors (1690778400).

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

680944800 is a wasteful number, since it uses less digits than its factorization.

680944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 680944800 is about 26094.9190456686. The cubic root of 680944800 is about 879.7730130814.

The spelling of 680944800 in words is "six hundred eighty million, nine hundred forty-four thousand, eight hundred".