Suppose that the total surface area of a human body is 1.6 m^2 and...

Given, surface area $A = 1.6 \text{ m}^2$

Temperature T = 37^{}^{{}^{\circ}} \text{C} = 37 + 273 = 310 \text{ K}

Stefan constant $\sigma = 6.0 \times 10^{-8} \text{ W m}^{-2} \text{ K}^{-4}$

Since the body acts as an ideal radiator, emissivity $e = 1$.

The amount of energy radiated per second is given by the Stefan-Boltzmann law:

$P = \sigma e A T^4$

Substituting the given values:

$P = (6.0 \times 10^{-8}) \times 1 \times 1.6 \times (310)^4$

$P = 9.6 \times 10^{-8} \times 9235210000$

$P = 9.6 \times 92.3521$

$P = 886.58 \text{ J/s}$

Rounding to the nearest integer, we get $887 \text{ J/s}$.