6730400 has 72 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 2620160.

The previous prime is 6730391. The next prime is 6730463. The reversal of 6730400 is 40376.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37511 + ... + 37689.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^6730400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

6730400 is an abundant number, since it is smaller than the sum of its proper divisors (10143520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6730400 is a wasteful number, since it uses less digits than its factorization.

6730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 6730400 is about 2594.3014474035. The cubic root of 6730400 is about 188.8050582768.

Adding to 6730400 its reverse (40376), we get a palindrome (6770776).

The spelling of 6730400 in words is "six million, seven hundred thirty thousand, four hundred".