Depay, who asked for the number, feels he is ready to take on that pressure and is convinced he will have a successful first year at the club.
"Yes, of course (I'm aware of the pressure) and the history," the Dutch international was quoted as saying by the British media.
"I appreciate the history, but I want to be my own man. It's an honour to wear the number seven and I will wear it with pride.
"Last year I played with seven on my back (for PSV) and I scored a lot of goals so I am confident with that number."
Depay scored 22 goals last season for PSV though he failed to find the net against Tottenham Hotspur at Old Trafford on Saturday.
"I'm aware of that and I want to be as good as possible this year," the 21-year-old said. "I want to bring creative things, goals. I have to play with discipline in midfield.
"I can't lose the ball too much, but I can make risks on the sides and when I come into the third phase, then I can make my tricks and take risks."
Manchester United travel to Aston Villa for their next Premier League game on Friday night.
(Reporting by Shravanth V in Bengaluru; editing by Sudipto Ganguly)
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