1680800 has 72 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 608000.

The previous prime is 1680793. The next prime is 1680803. The reversal of 1680800 is 80861.

1680800 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (1680803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8705 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2^1680800 is an apocalyptic number.

1680800 is a gapful number since it is divisible by the number (10) 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 1680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1680800 is an abundant number, since it is smaller than the sum of its proper divisors (2818912).

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

1680800 is a wasteful number, since it uses less digits than its factorization.

1680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1680800 is about 1296.4567096513. The cubic root of 1680800 is about 118.8973056544.

The spelling of 1680800 in words is "one million, six hundred eighty thousand, eight hundred".