macOS Sequoia 15.7.9 was released August 6, 2026, and Apple currently lists the 24-inch M1 (2021) and later iMacs as compatible with Tahoe 26. (Apple Support)
Troubleshooting the macOS Sequoia 15.7.9 update
Since your 24-inch iMac is running macOS Sequoia 15.7 and is also eligible for macOS Tahoe 26,
I would first determine whether the Mac's Software Update system is actually seeing Sequoia 15.7.9 rather than immediately trying more extensive troubleshooting.
Apple confirms that Sequoia 15.7.9 is a legitimate security update released on August 6, 2026. (Apple Support)
Open Applications >> Utilities >> Terminal and enter:
softwareupdate --list
Then paste the complete output here.
We are particularly interested in whether macOS Sequoia 15.7.9 appears in the list.
If it does, that tells us the Software Update system is detecting the update; if it does not, that gives us a different situation to investigate.
If macOS Tahoe 26 appears instead, that will also be useful information.
For now, I would not use Terminal to install anything, such as softwareupdate --install --all.
Let us first see what the Mac reports.
If 15.7.9 is listed but the normal Software Update process still fails, the next useful information will be the exact wording of the failure message.
We can then decide whether to investigate storage, the network connection, Safe Mode, or another possibility.
I would not erase the Mac or reinstall macOS at this stage.
Apple's documentation confirms that the 24-inch M1 iMac and subsequent 24-inch iMac models are compatible with Tahoe 26. (Apple Support)
Useful Apple references are About the security content of macOS Sequoia 15.7.9, macOS Tahoe 26 compatibility, and Identify your iMac model.
The key point is that we are ‘not yet trying to fix anything—we are establishing what Apple's Software Update mechanism actually sees.
That should give us a much firmer basis for the next step.