File.lastModified

var time = instanceOfFile.lastModified;

<input type="file" multiple id="fileInput">

const fileInput = document.getElementById('fileInput');
fileInput.addEventListener('change', function(event) {
  // files is a FileList object (simliar to NodeList)
  const files = event.target.files;

  for (let i = 0; i < files.length; i++) {
    const date = new Date(files[i].lastModified);
    alert(files[i].name + ' has a last modified date of ' + date);
  }
});

var fileWithDate = new File([], 'file.bin', {
  lastModified: new Date(2017, 1, 1),
});
console.log(fileWithDate.lastModified); //returns 1485903600000

var fileWithoutDate = new File([], 'file.bin');
console.log(fileWithoutDate.lastModified); //returns current time