1680765480 has 192 divisors, whose sum is σ = 5840190720. Its totient is φ = 418176000.

The previous prime is 1680765461. The next prime is 1680765491. The reversal of 1680765480 is 845670861.

It is a happy number.

1680765480 is a `hidden beast` number, since 168 + 0 + 7 + 6 + 5 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 337005 + ... + 341955.

It is an arithmetic number, because the mean of its divisors is an integer number (30417660).

Almost surely, 2^1680765480 is an apocalyptic number.

1680765480 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 1680765480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920095360).

1680765480 is an abundant number, since it is smaller than the sum of its proper divisors (4159425240).

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

1680765480 is a wasteful number, since it uses less digits than its factorization.

1680765480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1680765480 is about 40997.1399002418. The cubic root of 1680765480 is about 1188.9649168423.

The spelling of 1680765480 in words is "one billion, six hundred eighty million, seven hundred sixty-five thousand, four hundred eighty".