127380 has 48 divisors (see below), whose sum is σ = 391104. Its totient is φ = 30720.

The previous prime is 127373. The next prime is 127399. The reversal of 127380 is 83721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (8148).

2¹²⁷³⁸⁰ is an apocalyptic number.

127380 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 127380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195552).

127380 is an abundant number, since it is smaller than the sum of its proper divisors (263724).

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

127380 is a wasteful number, since it uses less digits than its factorization.

127380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 127380 is about 356.9033482611. The cubic root of 127380 is about 50.3153403615.

The spelling of 127380 in words is "one hundred twenty-seven thousand, three hundred eighty".