Wifi for 1000 users in small area.

Hello,
I work for a large hotel chain. I have a group coming in that will have 1000 wireless users (laptops and Smart Phones) in one room, theater setting. If you think of a church or movie theater that seats 1000 people, this is the size of the room I am looking at.
Is it even possible to set up enough wifi to support this many in such a small area? 802.11n would be my choice but not sure how many routers to place if this is possible without interference. Any help would be appriciated.