In general, there are some changes that are needed to make an application/project for one nRF52 device work on another one, as there are differences in flash size, select peripherals, and so on. But depending on which peripherals your application uses, it may work flashing an nRF52832 application onto an nRF52840, but if so it won't for example use the extra available RAM and Flash memory at all, and we strongly suggest making some changes.
You can use the User Guide for Transferring the project to nRF528XX hardware found here. It should be sufficient making the changes mentioned here in the nRF52832 project if you use the nRF52840 as the base instead of nRF52810. Please note that the ROM and RAM must be increased instead of reduced accordingly if you'd like to use the extra RAM and Flash memory.
