127006880 has 288 divisors, whose sum is σ = 411723648. Its totient is φ = 35942400.

The previous prime is 127006871. The next prime is 127006927. The reversal of 127006880 is 88600721.

127006880 = 293² + 294² + ... + 740².

It is a super-2 number, since 2×127006880² = 32261495134668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082050 + ... + 2082110.

It is an arithmetic number, because the mean of its divisors is an integer number (1429596).

Almost surely, 2^127006880 is an apocalyptic number.

127006880 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 127006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205861824).

127006880 is an abundant number, since it is smaller than the sum of its proper divisors (284716768).

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

127006880 is a wasteful number, since it uses less digits than its factorization.

127006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 127006880 is about 11269.7329160899. The cubic root of 127006880 is about 502.6616461383.

The spelling of 127006880 in words is "one hundred twenty-seven million, six thousand, eight hundred eighty".