6756400 has 120 divisors (see below), whose sum is σ = 19681280. Its totient is φ = 2177280.

The previous prime is 6756397. The next prime is 6756401. The reversal of 6756400 is 46576.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (6756401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53137 + ... + 53263.

Almost surely, 2^6756400 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 6756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840640).

6756400 is an abundant number, since it is smaller than the sum of its proper divisors (12924880).

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

6756400 is a wasteful number, since it uses less digits than its factorization.

6756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 6756400 is about 2599.3076001120. The cubic root of 6756400 is about 189.0478682072.

The spelling of 6756400 in words is "six million, seven hundred fifty-six thousand, four hundred".