127900080 has 320 divisors, whose sum is σ = 549964800. Its totient is φ = 26542080.

The previous prime is 127899997. The next prime is 127900081. The reversal of 127900080 is 80009721.

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 (127900081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165936 + ... + 166704.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^127900080 is an apocalyptic number.

127900080 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 127900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

127900080 is an abundant number, since it is smaller than the sum of its proper divisors (422064720).

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

127900080 is a wasteful number, since it uses less digits than its factorization.

127900080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 127900080 is about 11309.2917550128. The cubic root of 127900080 is about 503.8372490376.

The spelling of 127900080 in words is "one hundred twenty-seven million, nine hundred thousand, eighty".