Check files integrity

Question

The advice found on most sites is when you lose power on your PC, the best way to check files integrity for corruption is to check whether they are readable or not since chkdsk does it for the file system but not individual files (chkdsk /r might do it but it is bad for an SSD) . For videos files I use this post, but what about other files, ideally it would be checking them against checksums such as MD5 or SHA-1. In the case of their non availability, is there any tool or PowerShell command that can do this for hundreds of files, also open if such command is available for Linux.