Another thing to be aware of with the LM2776 which I don't think is in the data sheet, is failure to start if there is a positive voltage on the output rail when it's powered up, enabling/disabling the IC has no effect. I had to install a low vf diode on the output to fix this.
This problem is more common than not with any IC which relies on a junction isolated process. Every NPN collector and MOS drain (?) is connected to the substrate via a parasitic diode which is part of the isolation structure. The substrate must be maintained at a voltage equal to or lower than the lowest operating voltage (1) to prevent these parasitic diodes from conducting and injecting minority carriers into the various nodes. On a switched capacitor voltage inverter, this substrate connection is connected to the negative output. The ancient Linear Technology LT1026 datasheet describes this issue.
With dual and quad operational amplifiers on built on junction isolated processes or ICs that contain multiple logic gates, you can get very strange results if a pin is pulled below the negative supply injecting carriers into the *other* function units which is why you sometimes see external schottky clamp diodes used despite the presence of a "free" internal clamp diode.
For TI chips I have now finally learned to google the part number and "problem" to catch the gotchas.
Problems like these are often overlooked in the datasheets unfortunately. TI is one of the greater offenders.
Back when this sort of thing mattered, they released a "new and improved" dual-slope integrating converter which specifically listed having a unipolar zero instead of +/- zero which is usually inconvenient. Guess what? It still returned +/- zero just like earlier implementations and the problem existed for years; I do not know if the documentation or part was ever fixed.
TI also has a history of misleading specifications like noise in their datasheets and they were called out on this many times with no positive results unless you count them buying up the companies who complained.
(1) This is why the 7905 and 337 negative regulators in the TO-220 package have their negative inputs on the center pin; the TO-220 package always connects the center pin (and tab) to the substrate. And the 7805 uses the center pin for common and the 317 uses the center pin for adjust for the same reason; those are the most negative applied voltages to the positive regulators.