Hi aspirant, on behalf of your 77 percentile in your JEE Mains you can take admission in the below mentioned colleges which include the best under this rank;

• Punjab University, Chandigarh
• Beant College of Engineering and Technology
• Department of Technology-Shivaji University, Kolhapur
• Baba Hira Singh Bhattal Institute of Engineering and Technology
• Gyani Zail Singh Collyof Engineering and Technology, Bathinda
• Shaheed Bhagat Singh State Technical Campus, Ferozpur
• KIET, Ghaziabad
• DIT, Dehradun
• AKG, Ghaziabad

Etc.

You can also predict your rank with the help of College Predictor tool by Careers360(link mentioned below);

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna Thank You.