127882440 has 192 divisors, whose sum is σ = 490613760. Its totient is φ = 28270080.

The previous prime is 127882411. The next prime is 127882451. The reversal of 127882440 is 44288721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127882395 and 127882404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77302 + ... + 78938.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^127882440 is an apocalyptic number.

127882440 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 127882440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

127882440 is an abundant number, since it is smaller than the sum of its proper divisors (362731320).

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

127882440 is a wasteful number, since it uses less digits than its factorization.

127882440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 127882440 is about 11308.5118384339. The cubic root of 127882440 is about 503.8140848674.

The spelling of 127882440 in words is "one hundred twenty-seven million, eight hundred eighty-two thousand, four hundred forty".