127622880 has 288 divisors, whose sum is σ = 543449088. Its totient is φ = 26496000.

The previous prime is 127622851. The next prime is 127622897. The reversal of 127622880 is 88226721.

It is a happy number.

127622880 is a `hidden beast` number, since 1 + 27 + 622 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 110305 + ... + 111455.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2^127622880 is an apocalyptic number.

127622880 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 127622880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544).

127622880 is an abundant number, since it is smaller than the sum of its proper divisors (415826208).

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

127622880 is a wasteful number, since it uses less digits than its factorization.

127622880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 127622880 is about 11297.0296981109. The cubic root of 127622880 is about 503.4729941037.

The spelling of 127622880 in words is "one hundred twenty-seven million, six hundred twenty-two thousand, eight hundred eighty".