I guess it all depends WHERE on Earth your city is, and how 'international' you want your city to be. I assume as a 80 million person city built from scratch supported by the service industry, you'd want a very international an integrated city. This means a lot of international travel (too far for train because of great distance (>1000 miles) or oceans. I picked 3 airports, because such massive cities as Tokyo (which has one of the world's best transport networks) have 2 super airports while NYC has 3 and London has 3. So in fact 3 airports is already a gross misunderestimation of how many you'd need, as there would be 5-6x the amount of people in this city as the catchment are of the NYC airports.
There's a physical limit to how many runways an airport can have safely (due to minimizing mid-air collisions and so on), and how many planes can land on each runway in an hour, and so on. So 2 would definately not be enough and I'd actually say 4 but I just settled on a lowball of 3.
Some things to consider about hospitals. Due to emergency services, hospitals need to be within a close distance of where emergencies happen. Of course when you have such high density, traffic will be a problem, so hospitals need to be very close to people. Having less but more 'mega' hospitals might not solve this problem although it's hard for us to say.
Also, due to the nature of hospitals having a TON of inter-floor traffic compared to your average office building even, it would be hard to run a good hospital that is too tall without running into some problems. Having worked in a 16-floor hospital before, I can tell you logistically it's a challenge even at that height. Still I won't say it's impossible, perhaps your city will have tons of skybridges and maybe every 30 floors, there's a new 'ground floor' of your city
Well when you start limiting choices, less people will choose to live in your city. I'm assuming that it's not going to be a 3rd world slum but a modern 1st world city, so having lots of choices of sports is important. Even Japan has soccer and baseball stadiums!
Just wondering how you got these numbers. I agree with office, but retail?
If you had a lot of 50-100 story buildings, I guess you could theoretically make the city less dense. Still, ground floor would be in perpetual darkness! Also there would be problems with fires and emergency services, especially with densely populated supertall residential towers. It would also up the cost of your city greatly.
This creates a bit of a problem. In order to fit 80 million people into your city, they have to be super cramped in. On the other hand, to build a supertall is super expensive. So it means that everyone would be living in super small, super expensive residences. Are there that many rich people who'd actually want to live in a city with no outdoor sports, crazy density, and so on?
So overall even though this is really a completely theoretical exercise, I wonder if it could actually work in real life. Would enough people actually want to live in a city like that so that the resources to build a place like that be justified?