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.