127085800 has 48 divisors (see below), whose sum is σ = 297263340. Its totient is φ = 50526720.

The previous prime is 127085797. The next prime is 127085809. The reversal of 127085800 is 8580721.

It can be written as a sum of positive squares in 6 ways, for example, as 42850116 + 84235684 = 6546^2 + 9178^2 .

It is not an unprimeable number, because it can be changed into a prime (127085809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32764 + ... + 36436.

Almost surely, 2^127085800 is an apocalyptic number.

127085800 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 127085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148631670).

127085800 is an abundant number, since it is smaller than the sum of its proper divisors (170177540).

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

127085800 is a wasteful number, since it uses less digits than its factorization.

127085800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 127085800 is about 11273.2337862745. The cubic root of 127085800 is about 502.7657398251.

The spelling of 127085800 in words is "one hundred twenty-seven million, eighty-five thousand, eight hundred".