NTA score 78.26 jee mains , Rank approximately
Hello,
Based on your NTA score your rank will be around 150000-175000.
If you are general category candidate then with this rank you have pretty much no chance of getting govt. college. Keep it in mind, that the final rank of a candidate will be calculated based on the best performance in all of attempts. So, you have plenty of opportunity to improve your score in the next sessions of JEE main.
To know your best admission possibility as per your rank use the college predictor tool from the link below
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good luck!