127920 has 80 divisors (see below), whose sum is σ = 437472. Its totient is φ = 30720.

The previous prime is 127913. The next prime is 127921. The reversal of 127920 is 29721.

Added to its reverse (29721) it gives a triangular number (157641 = T₅₆₁).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3100 + ... + 3140.

2¹²⁷⁹²⁰ is an apocalyptic number.

127920 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 127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

127920 is an abundant number, since it is smaller than the sum of its proper divisors (309552).

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

127920 is a wasteful number, since it uses less digits than its factorization.

127920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 127920 is about 357.6590555263. The cubic root of 127920 is about 50.3863404656.

Adding to 127920 its reverse (29721), we get a triangular number (157641 = T₅₆₁).

The spelling of 127920 in words is "one hundred twenty-seven thousand, nine hundred twenty".