127380000 has 240 divisors, whose sum is σ = 458178336. Its totient is φ = 30720000.

The previous prime is 127379999. The next prime is 127380013. The reversal of 127380000 is 83721.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659904 + ... + 660096.

Almost surely, 2^127380000 is an apocalyptic number.

127380000 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 127380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229089168).

127380000 is an abundant number, since it is smaller than the sum of its proper divisors (330798336).

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

127380000 is a wasteful number, since it uses less digits than its factorization.

127380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

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

The square root of 127380000 is about 11286.2748504544. The cubic root of 127380000 is about 503.1534036149.

The spelling of 127380000 in words is "one hundred twenty-seven million, three hundred eighty thousand".