Single board computers standby mode

Is there any way to get smartphone like standby on a single board computer (like the RaspberryPi, Odroid or something)?

Most of those boards seem to consume about 0.5 - 2 watts on idle, which is totally inacceptable for mobile devices. In contrast, most smartphones, made of similiar components, may work for a week if the display is rarely used, by a single battery charge.

How do I get these standby times?

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