Sōya Kuroi has dreams of people with superpowers fighting a massive dragon in the sky, but his real life is almost as weird. He's had amnesia for about two weeks and been taken in by a maid and an anthropomorphic cat. When a UFO in the shape of a stuffed bear approaches Sorimasaka City and other metros around the world, he's startled to see seven rainbow-sparkling heroes zoom out to confront it – just like in his dream. Even weirder, the maid wants him to leave his shelter to confront these heroes and take the source of their power.