An electronic apparatus that is capable of preventing overcharge and overdischarge of a battery. The electronic apparatus is operatable in a normal mode and a first power saving mode with less power consumption. A battery supplies electric power until battery residual capacity reaches a first threshold in the first power saving mode. A charging unit charges the battery in the normal mode. A control unit controls, in a case that the battery residual capacity is smaller than a second threshold larger than the first threshold when transition to the first power saving mode is made, so as to charge the battery until the battery residual capacity reaches the second threshold, and make a transition to the first power saving mode.