I had a modest proposal, and then decided to fact-check myself. The proposal was "Charity Navigator should do a health check on Harvard."
Then I found they already had! https://www.charitynavigator.org/ein/042103580
Harvard gets a 100% rating. I didn't see right off a way to distinguish "cost of all those administrators." Maybe they allocate it to the various "programs" so it's hidden?
Here's their IRS 990 form for 2021, all 373 pages of it:
https://apps.irs.gov/pub/epostcard/cor/042103580_202106_990_...
If anyone wants to dig through all this, have a big time.