1680850080 has 576 divisors, whose sum is σ = 7185604608. Its totient is φ = 348364800.

The previous prime is 1680850033. The next prime is 1680850139. The reversal of 1680850080 is 800580861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13234977 + ... + 13235103.

It is an arithmetic number, because the mean of its divisors is an integer number (12475008).

Almost surely, 2^1680850080 is an apocalyptic number.

1680850080 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 1680850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592802304).

1680850080 is an abundant number, since it is smaller than the sum of its proper divisors (5504754528).

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

1680850080 is a wasteful number, since it uses less digits than its factorization.

1680850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1680850080 is about 40998.1716665512. The cubic root of 1680850080 is about 1188.9848650436.

The spelling of 1680850080 in words is "one billion, six hundred eighty million, eight hundred fifty thousand, eighty".