The notes in the STM32F76xxx data sheet DS11532 Rev 7 give 2 different answers to this question. See attached. I'm guessing the default state of the unconfigured GPIO is "Floating Input."
There are a couple of exceptions, as noted by the register initialization values,but yes mostly input/floating. ie transistors both off, pull up/down resistors not connected.
Analogue Input would be where the digital schmitt trigger on the input is disabled, so nothing internally is going to react to a perceived potential change on the pin itself
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