Hello Narendra

Considering General category 78 percentile is ver less. Yes there is a chance tha you can be qualified for JEE advance ( Not sure too) but still you will not get any NIT's in this percentile.

Some of the good colleges in Mumbai are:

KJ Somaiya Institute of Technology

Don Bosco Institute of Tech.

Veermata Jeejabai

Rajiv Gandi Insti. of TEch.

Pillai college of Engineering

KC college

IIT Bombay (If you can clear JEE advance)

So, just work hard for the phase 2 exam and try to improve your percentile as much as possible.