1127278080 has 320 divisors, whose sum is σ = 4101166080. Its totient is φ = 293363712.

The previous prime is 1127278073. The next prime is 1127278081. The reversal of 1127278080 is 808727211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127278081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3248467 + ... + 3248813.

It is an arithmetic number, because the mean of its divisors is an integer number (12816144).

Almost surely, 2^1127278080 is an apocalyptic number.

1127278080 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 1127278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050583040).

1127278080 is an abundant number, since it is smaller than the sum of its proper divisors (2973888000).

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

1127278080 is an equidigital number, since it uses as much as digits as its factorization.

1127278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1127278080 is about 33574.9620997552. The cubic root of 1127278080 is about 1040.7434526310.

The spelling of 1127278080 in words is "one billion, one hundred twenty-seven million, two hundred seventy-eight thousand, eighty".