1680080000 has 80 divisors (see below), whose sum is σ = 4182653310. Its totient is φ = 672000000.

The previous prime is 1680079991. The next prime is 1680080009. The reversal of 1680080000 is 800861.

It is an interprime number because it is at equal distance from previous prime (1680079991) and next prime (1680080009).

It can be written as a sum of positive squares in 5 ways, for example, as 3013696 + 1677066304 = 1736^2 + 40952^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1680080009) 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 9 ways as a sum of consecutive naturals, for example, 69500 + ... + 90500.

Almost surely, 2^1680080000 is an apocalyptic number.

1680080000 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 1680080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091326655).

1680080000 is an abundant number, since it is smaller than the sum of its proper divisors (2502573310).

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

1680080000 is an frugal number, since it uses more digits than its factorization.

1680080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21035 (or 21008 counting only the distinct ones).

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

The square root of 1680080000 is about 40988.7789522938. The cubic root of 1680080000 is about 1188.8032598466.

Adding to 1680080000 its reverse (800861), we get a palindrome (1680880861).

The spelling of 1680080000 in words is "one billion, six hundred eighty million, eighty thousand".