7763880960 has 792 divisors, whose sum is σ = 31763315376. Its totient is φ = 1738014720.

The previous prime is 7763880931. The next prime is 7763880961. The reversal of 7763880960 is 690883677.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×7763880960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7763880897 and 7763880906.

It is not an unprimeable number, because it can be changed into a prime (7763880961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146488294 + ... + 146488346.

Almost surely, 2^7763880960 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 7763880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881657688).

7763880960 is an abundant number, since it is smaller than the sum of its proper divisors (23999434416).

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

7763880960 is a wasteful number, since it uses less digits than its factorization.

7763880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7763880960 is about 88112.8875931325. The cubic root of 7763880960 is about 1980.1265912328.

The spelling of 7763880960 in words is "seven billion, seven hundred sixty-three million, eight hundred eighty thousand, nine hundred sixty".