127820 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 39360.

The previous prime is 127819. The next prime is 127837. The reversal of 127820 is 28721.

127820 = T₇₁ + T₇₂ + ... + T₁₀₃.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 127792 and 127801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2¹²⁷⁸²⁰ is an apocalyptic number.

127820 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 127820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

127820 is an abundant number, since it is smaller than the sum of its proper divisors (210868).

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

127820 is a wasteful number, since it uses less digits than its factorization.

127820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 127820 is about 357.5192302520. The cubic root of 127820 is about 50.3732073939.

Subtracting from 127820 its reverse (28721), we obtain a palindrome (99099).

The spelling of 127820 in words is "one hundred twenty-seven thousand, eight hundred twenty".