755400 has 48 divisors (see below), whose sum is σ = 2343600. Its totient is φ = 201280.

The previous prime is 755399. The next prime is 755401. The reversal of 755400 is 4557.

It is an interprime number because it is at equal distance from previous prime (755399) and next prime (755401).

It is a nialpdrome in base 10 and base 15.

It is not an unprimeable number, because it can be changed into a prime (755401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2⁷⁵⁵⁴⁰⁰ 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 755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171800).

755400 is an abundant number, since it is smaller than the sum of its proper divisors (1588200).

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

755400 is a wasteful number, since it uses less digits than its factorization.

755400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 755400 is about 869.1375035056. The cubic root of 755400 is about 91.0735628653.

Adding to 755400 its reverse (4557), we get a palindrome (759957).

The spelling of 755400 in words is "seven hundred fifty-five thousand, four hundred".