Hey,
The cutoff changes every year depending upon the difficulty level of the examination, the number of candidates appearing in the examination, the category of the candidates etcetra.
Going by the formula 100-82*869010/100 wherein 82 is your percentile and 869010 is the total number of candidates appearing in the examination, your approximate rank is 1,56,421 which is tad too less.
You can appear in July sessions.
To predict your chances in colleges you can refer to our JEE Mains college Predictor:

Hope this helps.
Good luck.

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