This digital camera supports an SD|SDHC|SDXC compatible memory cards, which is the most commonly supported compatible memory cards on comparable spec digital cameras that are a similar age to it. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
There are a number of other digital cameras that support an SD|SDHC|SDXC memory currently available that you might also want to look at including because of it's better review score, the FinePix F770EXR[pl_383572_price], or the X-Q1[pl_2452648_price] both from Fujifilm or the Panasonic DMC-TZ60[plb_2145753_price].
If the memory card type of this compact camera digital camera is not good enough for you then you might want to look at the Canon SX710 HS[plb_3538695_price] (SD,SDHC,SDXC) which also has a higher rating.