127077120 has 144 divisors (see below), whose sum is σ = 451069920. Its totient is φ = 33878016.

The previous prime is 127077103. The next prime is 127077127. The reversal of 127077120 is 21770721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×127077120² = 32297188854988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (127077127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32722 + ... + 36398.

It is an arithmetic number, because the mean of its divisors is an integer number (3132430).

Almost surely, 2^127077120 is an apocalyptic number.

127077120 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 127077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225534960).

127077120 is an abundant number, since it is smaller than the sum of its proper divisors (323992800).

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

127077120 is an equidigital number, since it uses as much as digits as its factorization.

127077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 127077120 is about 11272.8487969989. The cubic root of 127077120 is about 502.7542932119.

The spelling of 127077120 in words is "one hundred twenty-seven million, seventy-seven thousand, one hundred twenty".