Convert Seconds to HH:MM:SS

I am in  reporting team and once had this requirement. We had one table where Seconds were stored as INT and in report we wanted to convert the seconds to HH:MM:SS format.  We already had 1 solution ready with us.   It was something like:

---------------------------------------------------------------------------------------------------------------

DECLARE @Seconds INT 
SET @Seconds = 3800

SELECT CONVERT(VARCHAR(10),@Seconds/3600)  
    +':' 
    + RIGHT('00'+CONVERT(VARCHAR(2),(@Seconds%3600)/60),2) 
    +':' 
    + RIGHT('00'+CONVERT(VARCHAR(2),@Seconds%60),2) AS [HH:MM:SS] 
  GO 
----------------------------------------------------------------------------------------------------------------- The output-- 
01:03:20

It was working fine, but my colleagues were looking for something different, something elegant.  And I jumped on to help them.  I had one solution in mind using CONVERT and Style 108:

---------------------------------------------------------------------------------------------------------------DECLARE @Seconds INT 
SET @Seconds = 3800 
SELECT CONVERT(VARCHAR(8), DATEADD(SS,@Seconds,0),108) AS [HH:MM:SS] 
GO 
---------------------------------------------------------------------------------------------------------------

But problem with the above query is, it fails when number of seconds are more than 86399(there are total 86400 seconds in a day).  So if number of seconds are 86400; above query will show 00hours instead of showing 24 hours.  See following example:

---------------------------------------------------------------------------------------------------------------DECLARE @Seconds INT 
SET @Seconds = 86500 
SELECT CONVERT(VARCHAR(8), DATEADD(SS,@Seconds,0),108)  AS [HH:MM:SS] 
GO 
---------------------------------------------------------------------------------------------------------------

-- The output-- 
00:01:40

Here the expected output was 24:01:40.  So I modified the above query a little and I came up with this:

---------------------------------------------------------------------------------------------------------------DECLARE @Seconds INT,@Hour VARCHAR(10) 
SET @Seconds = 86500 
SET @Hour = DATEDIFF(HH, 0, DATEADD(SS,@Seconds,0)) 
SELECT STUFF(CONVERT(VARCHAR(8), DATEADD(SS,@Seconds,0),108),1,2,@Hour)  AS [HH:MM:SS]
GO 
---------------------------------------------------------------------------------------------------------------

-- The output-- 
24:01:40

Just in case you want to run above query on table:

---------------------------------------------------------------------------------------------------------------SELECT STUFF(CONVERT(VARCHAR(8), DATEADD(SS, Seconds,0),108),1,2, DATEDIFF(HH, 0,DATEADD(SS, Seconds,0)))  AS [HH:MM:SS] 
FROM TableName 
GO 
---------------------------------------------------------------------------------------------------------------

I don’t know which approach is better, rather you tell me which one you liked.  Looking at them I think both the queries will give almost identical performance, just that 1st query looks like a Mathematical solution while my approach looks like a SQL solution.  If you know any other approach please feel free to share