19780768 has 48 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 8418816.

The previous prime is 19780751. The next prime is 19780781. The reversal of 19780768 is 86708791.

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 7 ways as a sum of consecutive naturals, for example, 52003 + ... + 52381.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^19780768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19780768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

19780768 is an abundant number, since it is smaller than the sum of its proper divisors (25034912).

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

19780768 is a wasteful number, since it uses less digits than its factorization.

19780768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 19780768 is about 4447.5575319494. The cubic root of 19780768 is about 270.4463034742.

The spelling of 19780768 in words is "nineteen million, seven hundred eighty thousand, seven hundred sixty-eight".