7785133128 has 128 divisors (see below), whose sum is σ = 21907200000. Its totient is φ = 2561461056.

The previous prime is 7785133091. The next prime is 7785133129. The reversal of 7785133128 is 8213315877.

7785133128 is a `hidden beast` number, since 7 + 7 + 8 + 513 + 3 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (7785133129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5974125 + ... + 5975427.

It is an arithmetic number, because the mean of its divisors is an integer number (171150000).

Almost surely, 2^7785133128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7785133128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953600000).

7785133128 is an abundant number, since it is smaller than the sum of its proper divisors (14122066872).

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

7785133128 is a wasteful number, since it uses less digits than its factorization.

7785133128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1646 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 7785133128 is about 88233.4014305240. The cubic root of 7785133128 is about 1981.9316869189.

The spelling of 7785133128 in words is "seven billion, seven hundred eighty-five million, one hundred thirty-three thousand, one hundred twenty-eight".