Kurzgesagt's recent video, "The Last Human – A Glimpse Into The Far Future," invites viewers to consider the potential for a vast number of future people. "If we don't kill ourselves in the next few centuries or millennia, almost all humans that will ever exist will live in the future."
Here's the video:
Kurzgesagt has some other very relevant videos (and some other cool videos):
Note: If you were involved in making the video happen and want to author or coauthor this link-post, please let me know!
Even without considering that, if we stay at ~140 million births per year, in 800 years 50% of all humans will have been born in our future.
And in ~7 millennia 90% of all humans will have been born in our future.