With a JEE Main rank between 700,000 to 800,000, securing a B.Tech seat in the top NITs like Trichy or Warangal is highly improbable. The cutoff ranks for these premier institutions typically fall within the top few thousand.

However, you still have options in certain NITs and several Government Funded Technical Institutes (GFTIs). For NITs, you might explore newer ones or those located in the North-Eastern states. Branches like Civil, Chemical, Metallurgical, or Biotechnology might be available in some of these NITs. Keep in mind that these options depend on your category and home state quota.

In the GFTI category, several institutes accept students with this rank range. Some potential GFTIs include Assam University (Silchar), Birla Institute of Technology (Mesra, Ranchi), Gurukula Kangri Vishwavidyalaya (Haridwar), and certain others. You might find opportunities in branches like Agricultural Engineering, Civil Engineering, Mechanical Engineering, or even some core engineering branches in specific GFTIs.

It's crucial to check the specific cutoffs for each institute and branch based on your category and state through the JoSAA counseling process. Participating in state-level counseling might also open up opportunities in state government engineering colleges.