Here's what we know:
* No exact numbers: Caxton didn't keep detailed records of his print runs, and many of his books have been lost over time.
* Estimates vary: Historians estimate he likely printed anywhere from hundreds to thousands of books.
* Early print runs: Early print runs were small, likely only a few hundred copies per title.
* Most popular titles: Some of his most popular titles, like "The Canterbury Tales", were likely printed in larger quantities.
So, while we can't know the exact number, we can say that William Caxton made a significant contribution to printing and the spread of knowledge during his lifetime.