1680000800 has 36 divisors (see below), whose sum is σ = 4101303906. Its totient is φ = 672000000.

The previous prime is 1680000743. The next prime is 1680000823. The reversal of 1680000800 is 80000861.

It can be written as a sum of positive squares in 3 ways, for example, as 1639602064 + 40398736 = 40492^2 + 6356^2 .

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 5 ways as a sum of consecutive naturals, for example, 1049201 + ... + 1050800.

Almost surely, 2^1680000800 is an apocalyptic number.

1680000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680000800 is an abundant number, since it is smaller than the sum of its proper divisors (2421303106).

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

1680000800 is a wasteful number, since it uses less digits than its factorization.

1680000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100021 (or 2100008 counting only the distinct ones).

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

The square root of 1680000800 is about 40987.8128228380. The cubic root of 1680000800 is about 1188.7845792485.

The spelling of 1680000800 in words is "one billion, six hundred eighty million, eight hundred", and thus it is an aban number.