It depends upon alot of factors, 1. when are you planning to travel because it varies the flight costs. 2. If you really restraint yourself in terms of accommodation (maybe try couch surfing and budget hostels) and in terms of food.
3. Try and visit more free places You just might be able to manage it all in that budget.
Is it including flight tickets because it's difficult to manage a Europe visit per person in this range including flight tickets for such long duration. Just plan a rough itinerary with all the expected expenses like flight ticket, hotels, visa, food etc you will get a estimated budget from that. thanks