7761768960 has 320 divisors, whose sum is σ = 27435386880. Its totient is φ = 1856225280.

The previous prime is 7761768953. The next prime is 7761768961. The reversal of 7761768960 is 698671677.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 7761768960.

It is not an unprimeable number, because it can be changed into a prime (7761768961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6673339 + ... + 6674501.

It is an arithmetic number, because the mean of its divisors is an integer number (85735584).

Almost surely, 2^7761768960 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 7761768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717693440).

7761768960 is an abundant number, since it is smaller than the sum of its proper divisors (19673617920).

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

7761768960 is a wasteful number, since it uses less digits than its factorization.

7761768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 7761768960 is about 88100.9021520211. The cubic root of 7761768960 is about 1979.9470243963.

The spelling of 7761768960 in words is "seven billion, seven hundred sixty-one million, seven hundred sixty-eight thousand, nine hundred sixty".