6754400 has 36 divisors (see below), whose sum is σ = 16491132. Its totient is φ = 2701440.

The previous prime is 6754393. The next prime is 6754409. The reversal of 6754400 is 44576.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6754400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6754409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3422 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (458087).

Almost surely, 2^6754400 is an apocalyptic number.

It is an amenable number.

6754400 is an abundant number, since it is smaller than the sum of its proper divisors (9736732).

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

6754400 is a wasteful number, since it uses less digits than its factorization.

6754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 6754400 is about 2598.9228537992. The cubic root of 6754400 is about 189.0292126584.

Adding to 6754400 its reverse (44576), we get a palindrome (6798976).

The spelling of 6754400 in words is "six million, seven hundred fifty-four thousand, four hundred".