7765830540 has 216 divisors, whose sum is σ = 26390342160. Its totient is φ = 1845462528.

The previous prime is 7765830529. The next prime is 7765830557. The reversal of 7765830540 is 450385677.

7765830540 is a `hidden beast` number, since 7 + 76 + 5 + 8 + 30 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 877779 + ... + 886581.

It is an arithmetic number, because the mean of its divisors is an integer number (122177510).

Almost surely, 2^7765830540 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 7765830540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195171080).

7765830540 is an abundant number, since it is smaller than the sum of its proper divisors (18624511620).

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

7765830540 is a wasteful number, since it uses less digits than its factorization.

7765830540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7765830540 is about 88123.9498660835. The cubic root of 7765830540 is about 1980.2923198650.

The spelling of 7765830540 in words is "seven billion, seven hundred sixty-five million, eight hundred thirty thousand, five hundred forty".