It's a milliamp-hour.

The processor draws about 220uA [1]

so you have about 818 hours (=34 days) of CPU time, but you need to take display current out of that budget too, and an easy source for that probably exists, but I can't find easily.

[1] https://devzone.nordicsemi.com/f/nordic-q-a/7893/nrf52832-cu...

There are plenty of smartwatches with heart rate monitoring that have a week of battery life and 180mAh is enough for 10 days on some of them. It's obviously not enough if you're playing music or video or something like that. But if you're primarily using the device to give you notifications, heart rate, and the time, it seems likely it does last all week.

it's running a low power nrf52. they can last a year on a coin cell battery, with adequate power optimisations. without an always on display, a week is possibly an underestimation. for example, see the amazfit bip, it has lasted me ~45 days which even has a (low power) always on display.

Using the recent infinitime OS v0.9, I get 2 to 3 days of normal usage per charge.