127782060 has 96 divisors (see below), whose sum is σ = 410511360. Its totient is φ = 29092608.

The previous prime is 127782059. The next prime is 127782071. The reversal of 127782060 is 60287721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153726 + ... + 154554.

It is an arithmetic number, because the mean of its divisors is an integer number (4276160).

Almost surely, 2^127782060 is an apocalyptic number.

127782060 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 127782060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205255680).

127782060 is an abundant number, since it is smaller than the sum of its proper divisors (282729300).

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

127782060 is a wasteful number, since it uses less digits than its factorization.

127782060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 127782060 is about 11304.0727173882. The cubic root of 127782060 is about 503.6822291416.

The spelling of 127782060 in words is "one hundred twenty-seven million, seven hundred eighty-two thousand, sixty".