6792400 has 30 divisors (see below), whose sum is σ = 16319702. Its totient is φ = 2716800.

The previous prime is 6792397. The next prime is 6792403. The reversal of 6792400 is 42976.

6792400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6792397) and next prime (6792403).

It can be written as a sum of positive squares in 3 ways, for example, as 2005056 + 4787344 = 1416^2 + 2188^2 .

It is a super-2 number, since 2×6792400² = 92273395520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6792403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8091 + ... + 8890.

Almost surely, 2^6792400 is an apocalyptic number.

It is an amenable number.

6792400 is an abundant number, since it is smaller than the sum of its proper divisors (9527302).

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

6792400 is a wasteful number, since it uses less digits than its factorization.

6792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999 (or 16988 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 6792400 is about 2606.2233212064. The cubic root of 6792400 is about 189.3830403554.

The spelling of 6792400 in words is "six million, seven hundred ninety-two thousand, four hundred".