127893700 has 72 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 46214400.

The previous prime is 127893677. The next prime is 127893707. The reversal of 127893700 is 7398721.

It is a self number, because there is not a number n which added to its sum of digits gives 127893700.

It is not an unprimeable number, because it can be changed into a prime (127893707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 256051 + ... + 256549.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 2^127893700 is an apocalyptic number.

127893700 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 127893700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

127893700 is an abundant number, since it is smaller than the sum of its proper divisors (176774300).

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

127893700 is a wasteful number, since it uses less digits than its factorization.

127893700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 127893700 is about 11309.0096825496. The cubic root of 127893700 is about 503.8288713126.

The spelling of 127893700 in words is "one hundred twenty-seven million, eight hundred ninety-three thousand, seven hundred".