7782972288 has 256 divisors, whose sum is σ = 25810928640. Its totient is φ = 2023096320.

The previous prime is 7782972287. The next prime is 7782972289. The reversal of 7782972288 is 8822792877.

It is an interprime number because it is at equal distance from previous prime (7782972287) and next prime (7782972289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7782972287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2479456 + ... + 2482592.

It is an arithmetic number, because the mean of its divisors is an integer number (100823940).

Almost surely, 2^7782972288 is an apocalyptic number.

7782972288 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 7782972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905464320).

7782972288 is an abundant number, since it is smaller than the sum of its proper divisors (18027956352).

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

7782972288 is a wasteful number, since it uses less digits than its factorization.

7782972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3233 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 60.

The square root of 7782972288 is about 88221.1555580633. The cubic root of 7782972288 is about 1981.7483017630.

The spelling of 7782972288 in words is "seven billion, seven hundred eighty-two million, nine hundred seventy-two thousand, two hundred eighty-eight".