There's no count limit. How many visitors your site can handle depends on how much the server has to do to handle the visitor's request. If you are using software (scripts) that have to do a lot of calculation in order to render the pages, you can run out of resources with a single visitor. (You're allowed 5 simultaneous entry process maximum and I think it's still 300 core-seconds per hour, which is 5 minutes of use of a full processor core, 30 seconds of execution time maximum for a single process, and 64MB of RAM maximum. It is possible to create a page that exceeds all of these maximums on a single visit. Those limits are all hourly, not daily.)
If your site is lightweight static HTML, you can serve many thousands of daily visitors.
A typical site is somewhere between those two extremes - but the limit is how much of the server you're using, not how many visitors you get.