1140075760 has 80 divisors (see below), whose sum is σ = 2838434400. Its totient is φ = 424337408.

The previous prime is 1140075751. The next prime is 1140075763. The reversal of 1140075760 is 675700411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140075763) 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, 116331 + ... + 125749.

It is an arithmetic number, because the mean of its divisors is an integer number (35480430).

Almost surely, 2^1140075760 is an apocalyptic number.

1140075760 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 1140075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419217200).

1140075760 is an abundant number, since it is smaller than the sum of its proper divisors (1698358640).

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

1140075760 is a wasteful number, since it uses less digits than its factorization.

1140075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 1140075760 is about 33765.0079224039. The cubic root of 1140075760 is about 1044.6670673109.

The spelling of 1140075760 in words is "one billion, one hundred forty million, seventy-five thousand, seven hundred sixty".