7788432288 has 192 divisors, whose sum is σ = 25267818240. Its totient is φ = 2045509632.

The previous prime is 7788432277. The next prime is 7788432313. The reversal of 7788432288 is 8822348877.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 2243418 + ... + 2246886.

It is an arithmetic number, because the mean of its divisors is an integer number (131603220).

Almost surely, 2^7788432288 is an apocalyptic number.

7788432288 is a gapful number since it is divisible by the number (78) 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 7788432288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633909120).

7788432288 is an abundant number, since it is smaller than the sum of its proper divisors (17479385952).

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

7788432288 is a wasteful number, since it uses less digits than its factorization.

7788432288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3751 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 57.

The square root of 7788432288 is about 88252.0950912781. The cubic root of 7788432288 is about 1982.2116130380.

The spelling of 7788432288 in words is "seven billion, seven hundred eighty-eight million, four hundred thirty-two thousand, two hundred eighty-eight".