7765760640 has 192 divisors, whose sum is σ = 27209054880. Its totient is φ = 1882552320.

The previous prime is 7765760627. The next prime is 7765760657. The reversal of 7765760640 is 460675677.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7765760640.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 215607 + ... + 249033.

Almost surely, 2^7765760640 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 7765760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604527440).

7765760640 is an abundant number, since it is smaller than the sum of its proper divisors (19443294240).

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

7765760640 is a wasteful number, since it uses less digits than its factorization.

7765760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33471 (or 33448 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 7765760640 is about 88123.5532647203. The cubic root of 7765760640 is about 1980.2863783306.

The spelling of 7765760640 in words is "seven billion, seven hundred sixty-five million, seven hundred sixty thousand, six hundred forty".