Unfortunately, the P880 model is by design, physically limited to f8 as the smallest lens opening (aperture). Please see the specifications at the links below.
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The reason that you cannot reach Kodak at that number is ***** they shuttered the digital camera division, that made your camera, in 2014.
Here is the path to the special menu that will activate the extended function that I was able to find.
press menu button
select the 3rd tap
scrolled to the "About"
press the flash button, the metering button, the ISO button and the WB button (i.e. all the buttons on the left side of the LCD screen) all at once.
while holding down those buttons, select "About"
a films menu will appear, with selection of Kodakchrome, Ektachrome, Kodak Color Gold, Kodak Colors II, Kodak Colors Max, Kodak Royal Gold, Plus-X, Tri-X
for the newest Kodak film - Portra, you have to download the latest firmware V1.03
then use the scroll wheel to scroll and set button to select
As it is a hidden menu and not suppose to release yet. Try this at you own risk. I'm not responsible for any unpredictable reaction from you P880.