1127782260 has 144 divisors (see below), whose sum is σ = 3747062592. Its totient is φ = 272294400.

The previous prime is 1127782223. The next prime is 1127782267. The reversal of 1127782260 is 622877211.

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 (1127782267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555367 + ... + 557393.

It is an arithmetic number, because the mean of its divisors is an integer number (26021268).

Almost surely, 2^1127782260 is an apocalyptic number.

1127782260 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 1127782260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873531296).

1127782260 is an abundant number, since it is smaller than the sum of its proper divisors (2619280332).

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

1127782260 is a wasteful number, since it uses less digits than its factorization.

1127782260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1127782260 is about 33582.4695339697. The cubic root of 1127782260 is about 1040.8985885094.

It can be divided in two parts, 1127 and 782260, that added together give a palindrome (783387).

The spelling of 1127782260 in words is "one billion, one hundred twenty-seven million, seven hundred eighty-two thousand, two hundred sixty".