127788 has 24 divisors (see below), whose sum is σ = 311808. Its totient is φ = 40656.

The previous prime is 127781. The next prime is 127807. The reversal of 127788 is 887721.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127781) by changing a digit.

127788 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (12992).

2¹²⁷⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155904).

127788 is an abundant number, since it is smaller than the sum of its proper divisors (184020).

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

127788 is a wasteful number, since it uses less digits than its factorization.

127788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 127788 is about 357.4744746132. The cubic root of 127788 is about 50.3690033644.

The spelling of 127788 in words is "one hundred twenty-seven thousand, seven hundred eighty-eight".