It's a nuisance having to get up that early on a Sunday morning.

[Freeguy]

Why do we use -ing form after the word "nuisance" for example? Look at here:

It's a nuisance having to get up that early on a Sunday morning.

 

[bhaisahab]

Why do we use -ing form after the word "nuisance" for example? Look at here:

It's a nuisance having to get up that early on a Sunday morning.

Why not?

 

[Freeguy]

Can we say:

It's a nuisance to have ​to get up that early on a Sunday morning.

 

[Rover_KE]

That works, too, but 'having' is more natural.