127250760 has 256 divisors, whose sum is σ = 482549760. Its totient is φ = 26127360.

The previous prime is 127250741. The next prime is 127250801. The reversal of 127250760 is 67052721.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 469425 + ... + 469695.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^127250760 is an apocalyptic number.

127250760 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 127250760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241274880).

127250760 is an abundant number, since it is smaller than the sum of its proper divisors (355299000).

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

127250760 is a wasteful number, since it uses less digits than its factorization.

127250760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 127250760 is about 11280.5478590359. The cubic root of 127250760 is about 502.9831792190.

The spelling of 127250760 in words is "one hundred twenty-seven million, two hundred fifty thousand, seven hundred sixty".