127198800 has 180 divisors, whose sum is σ = 447499260. Its totient is φ = 33454080.

The previous prime is 127198793. The next prime is 127198801. The reversal of 127198800 is 8891721.

It can be written as a sum of positive squares in 6 ways, for example, as 6110784 + 121088016 = 2472^2 + 11004^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127198801) 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 35 ways as a sum of consecutive naturals, for example, 320202 + ... + 320598.

It is an arithmetic number, because the mean of its divisors is an integer number (2486107).

Almost surely, 2^127198800 is an apocalyptic number.

127198800 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 127198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223749630).

127198800 is an abundant number, since it is smaller than the sum of its proper divisors (320300460).

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

127198800 is a wasteful number, since it uses less digits than its factorization.

127198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 127198800 is about 11278.2445442542. The cubic root of 127198800 is about 502.9147092572.

The spelling of 127198800 in words is "one hundred twenty-seven million, one hundred ninety-eight thousand, eight hundred".