Sort by object key in descending order on Javascript/underscore

No, that isn't an array, it's an object, and Javascript objects' properties are unordered by definition; so sorting them is meaningless.

You could instead use an array, which does have order, and restructure your data like this:

var arr = [
  { date: 1436796000000, value: ["Task1","Task2"] },
  { date: 1437400800000, value: ["Task4","Task8"] },
  { date: 1436968800000, value: ["Task3","Task2"] },
  { date: 1436882400000, value: ["Task5","Task6"] }
]

and then you can sort it by date:

arr.sort( function ( a, b ) { return b.date - a.date; } );

If you don't want to restructure your data, you can iterate through it in the order you want, by getting an array of its keys and sorting that array, then using that array to access your object's properties, but you will need to do this each time your want to iterate through it in a particular order, since there is still no order information stored in the object:

// Get the array of keys
var keys = Object.keys( obj );

// Sort the keys in descending order
keys.sort( function ( a, b ) { return b - a; } );

// Iterate through the array of keys and access the corresponding object properties
for ( var i = 0; i < keys.length; i++ ) {
    console.log( keys[i], obj[ keys[i] ] );
}

You will need to shim Object.keys to support IE 8 and older browsers.