7788347264 has 64 divisors (see below), whose sum is σ = 16197028800. Its totient is φ = 3726673920.

The previous prime is 7788347233. The next prime is 7788347267. The reversal of 7788347264 is 4627438877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7788347267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275417 + ... + 302375.

It is an arithmetic number, because the mean of its divisors is an integer number (253078575).

Almost surely, 2^7788347264 is an apocalyptic number.

7788347264 is a gapful number since it is divisible by the number (74) 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 7788347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098514400).

7788347264 is an abundant number, since it is smaller than the sum of its proper divisors (8408681536).

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

7788347264 is a wasteful number, since it uses less digits than its factorization.

7788347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27071 (or 27059 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 56.

The square root of 7788347264 is about 88251.6133790199. The cubic root of 7788347264 is about 1982.2043999402.

The spelling of 7788347264 in words is "seven billion, seven hundred eighty-eight million, three hundred forty-seven thousand, two hundred sixty-four".