127790880 has 192 divisors, whose sum is σ = 467244288. Its totient is φ = 28753920.

The previous prime is 127790879. The next prime is 127790987. The reversal of 127790880 is 88097721.

It is a super-2 number, since 2×127790880² = 32661018022348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245020 + ... + 245540.

It is an arithmetic number, because the mean of its divisors is an integer number (2433564).

Almost surely, 2^127790880 is an apocalyptic number.

127790880 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 127790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233622144).

127790880 is an abundant number, since it is smaller than the sum of its proper divisors (339453408).

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

127790880 is a wasteful number, since it uses less digits than its factorization.

127790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 127790880 is about 11304.4628355354. The cubic root of 127790880 is about 503.6938175577.

The spelling of 127790880 in words is "one hundred twenty-seven million, seven hundred ninety thousand, eight hundred eighty".