127800 has 72 divisors (see below), whose sum is σ = 435240. Its totient is φ = 33600.

The previous prime is 127781. The next prime is 127807. The reversal of 127800 is 8721.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127807) by changing a digit.

127800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1765 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2¹²⁷⁸⁰⁰ is an apocalyptic number.

127800 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 127800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620).

127800 is an abundant number, since it is smaller than the sum of its proper divisors (307440).

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

127800 is a wasteful number, since it uses less digits than its factorization.

127800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 127800 is about 357.4912586344. The cubic root of 127800 is about 50.3705799577.

The spelling of 127800 in words is "one hundred twenty-seven thousand, eight hundred".