127385280 has 168 divisors, whose sum is σ = 478103184. Its totient is φ = 30873600.

The previous prime is 127385257. The next prime is 127385287. The reversal of 127385280 is 82583721.

127385280 is a `hidden beast` number, since 127 + 3 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127385287) 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, 29670 + ... + 33690.

Almost surely, 2^127385280 is an apocalyptic number.

127385280 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 127385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239051592).

127385280 is an abundant number, since it is smaller than the sum of its proper divisors (350717904).

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

127385280 is a wasteful number, since it uses less digits than its factorization.

127385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 127385280 is about 11286.5087604626. The cubic root of 127385280 is about 503.1603555520.

The spelling of 127385280 in words is "one hundred twenty-seven million, three hundred eighty-five thousand, two hundred eighty".