Bloginfo snippet

Is there a way to show the blog title from the bloginfo module?

I would like to integrate it with this

<?php
$result = db_query("SELECT u.uid, u.name, COUNT(0) AS num FROM {node} n LEFT JOIN {users} u ON u.uid = n.uid WHERE n.type = 'blog' GROUP BY u.uid, u.name ORDER BY u.name ASC");
while ($blog = db_fetch_object($result)) {
     $output .= '<li />'.l($blog->name. ' ('.$blog->num.')', 'blog/'.$blog->uid);
}
return '<ul>'.$output.'</ul>';
?>

snippet I found which shows a list of all the user blogs on the site. Any help in this will really be appreciated!