software update

You have told us nothing to help us diagnose the problem.

If you see an error when you update or restore your iPhone, iPad, or iPod, click here --> https://support.apple.com/HT201210

If your iPhone, iPad or iPod touch won’t update - "You might be unable to update your iPhone, iPad, or iPod touch wirelessly — or over the air — for one of these reasons", with more detail in this link. --> https://support.apple.com/HT201435

suyde Said:

"software update: Why can't I do a software update on my Iphone 7?"

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What's your Device?:

You mention iPhone 7 in you post, yet your device pertaining to this is apparently an iPhone 5c with iOS10.

To Check for Updates:

Use a Computer and Ethernet:

Start with attempting an update through use of a computer. If you cannot use Wi-Fi, then use Ethernet.  Go Here: Update your iPhone Using a Computer - User Tip. On the computer, you would connect it through Ethernet, going directly into your router. For a Mac (or PC) that does not have Ethernet, this would be the adapter to use: Belkin USB-C to Gigabit Ethernet Adapter - Apple. If you get the same error, the model is likely just not compatible.