7819305768 has 96 divisors (see below), whose sum is σ = 22305067200. Its totient is φ = 2469755904.

The previous prime is 7819305761. The next prime is 7819305779. The reversal of 7819305768 is 8675039187.

It is a super-2 number, since 2×7819305768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7819305761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155128 + ... + 199256.

It is an arithmetic number, because the mean of its divisors is an integer number (232344450).

Almost surely, 2^7819305768 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 7819305768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152533600).

7819305768 is an abundant number, since it is smaller than the sum of its proper divisors (14485761432).

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

7819305768 is a wasteful number, since it uses less digits than its factorization.

7819305768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44271 (or 44264 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 7819305768 is about 88426.8385050602. The cubic root of 7819305768 is about 1984.8273335038.

The spelling of 7819305768 in words is "seven billion, eight hundred nineteen million, three hundred five thousand, seven hundred sixty-eight".