It depends on your credit. Different landlords will have different qualifications. For example, my company recommends a 560 as an approval. There is more to it though, credit is just one of the many components. A lot of rentals require 3X the monthly rent, no criminal record etc, and various minimums for credit score. The best thing to do is be honest and upfront, ask these questions initially and if the landlord says you meet their qualifications, it is worth applying. If you don't they should tell you before applying to a property you'd be denied.
I suggest you check out this article, it breaks down exactly what landlords are looking for when approving or denying an applicant. I think it will really help!
I hope this helps!