7782360768 has 672 divisors, whose sum is σ = 29272504320. Its totient is φ = 2008820736.

The previous prime is 7782360767. The next prime is 7782360829. The reversal of 7782360768 is 8670632877.

7782360768 is a `hidden beast` number, since 7 + 7 + 8 + 23 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7782360767) 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 95 ways as a sum of consecutive naturals, for example, 165582121 + ... + 165582167.

Almost surely, 2^7782360768 is an apocalyptic number.

7782360768 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 7782360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636252160).

7782360768 is an abundant number, since it is smaller than the sum of its proper divisors (21490143552).

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

7782360768 is an equidigital number, since it uses as much as digits as its factorization.

7782360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7782360768 is about 88217.6896546265. The cubic root of 7782360768 is about 1981.6963974083.

The spelling of 7782360768 in words is "seven billion, seven hundred eighty-two million, three hundred sixty thousand, seven hundred sixty-eight".