7787130960 has 240 divisors, whose sum is σ = 28167393600. Its totient is φ = 1774467072.

The previous prime is 7787130941. The next prime is 7787130961. The reversal of 7787130960 is 690317877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7787130961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4809031 + ... + 4810649.

It is an arithmetic number, because the mean of its divisors is an integer number (117364140).

Almost surely, 2^7787130960 is an apocalyptic number.

7787130960 is a gapful number since it is divisible by the number (70) 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 7787130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083696800).

7787130960 is an abundant number, since it is smaller than the sum of its proper divisors (20380262640).

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

7787130960 is a wasteful number, since it uses less digits than its factorization.

7787130960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The square root of 7787130960 is about 88244.7219951426. The cubic root of 7787130960 is about 1982.1012078004.

The spelling of 7787130960 in words is "seven billion, seven hundred eighty-seven million, one hundred thirty thousand, nine hundred sixty".