127400 has 72 divisors (see below), whose sum is σ = 371070. Its totient is φ = 40320.

The previous prime is 127399. The next prime is 127403. The reversal of 127400 is 4721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 56644 = 266^2 + 238^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (127403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9794 + ... + 9806.

2¹²⁷⁴⁰⁰ is an apocalyptic number.

127400 is a gapful number since it is divisible by the number (10) 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 127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185535).

127400 is an abundant number, since it is smaller than the sum of its proper divisors (243670).

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

127400 is a wasteful number, since it uses less digits than its factorization.

127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 127400 is about 356.9313659515. The cubic root of 127400 is about 50.3179735696.

The spelling of 127400 in words is "one hundred twenty-seven thousand, four hundred", and thus it is an iban number.