6755400 has 144 divisors (see below), whose sum is σ = 23696400. Its totient is φ = 1788480.

The previous prime is 6755389. The next prime is 6755401. The reversal of 6755400 is 45576.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6755401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48531 + ... + 48669.

Almost surely, 2^6755400 is an apocalyptic number.

6755400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848200).

6755400 is an abundant number, since it is smaller than the sum of its proper divisors (16941000).

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

6755400 is a wasteful number, since it uses less digits than its factorization.

6755400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 6755400 is about 2599.1152340749. The cubic root of 6755400 is about 189.0385408930.

The spelling of 6755400 in words is "six million, seven hundred fifty-five thousand, four hundred".