1140782720 has 192 divisors, whose sum is σ = 3461888160. Its totient is φ = 355461120.

The previous prime is 1140782717. The next prime is 1140782723. The reversal of 1140782720 is 272870411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1140782717) and next prime (1140782723).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1140782723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343307 + ... + 346613.

Almost surely, 2^1140782720 is an apocalyptic number.

1140782720 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 1140782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730944080).

1140782720 is an abundant number, since it is smaller than the sum of its proper divisors (2321105440).

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

1140782720 is a wasteful number, since it uses less digits than its factorization.

1140782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 1140782720 is about 33775.4751261918. The cubic root of 1140782720 is about 1044.8829550769.

The spelling of 1140782720 in words is "one billion, one hundred forty million, seven hundred eighty-two thousand, seven hundred twenty".