127210880 has 64 divisors (see below), whose sum is σ = 306979200. Its totient is φ = 50405376.

The previous prime is 127210877. The next prime is 127210883. The reversal of 127210880 is 88012721.

It is an interprime number because it is at equal distance from previous prime (127210877) and next prime (127210883).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127210883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71441 + ... + 73199.

It is an arithmetic number, because the mean of its divisors is an integer number (4796550).

Almost surely, 2^127210880 is an apocalyptic number.

127210880 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 127210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

127210880 is an abundant number, since it is smaller than the sum of its proper divisors (179768320).

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

127210880 is a wasteful number, since it uses less digits than its factorization.

127210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 127210880 is about 11278.7800758770. The cubic root of 127210880 is about 502.9306292643.

The spelling of 127210880 in words is "one hundred twenty-seven million, two hundred ten thousand, eight hundred eighty".