7706758416 has 480 divisors, whose sum is σ = 25784064000. Its totient is φ = 1970002944.

The previous prime is 7706758369. The next prime is 7706758421. The reversal of 7706758416 is 6148576077.

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 95 ways as a sum of consecutive naturals, for example, 97553865 + ... + 97553943.

It is an arithmetic number, because the mean of its divisors is an integer number (53716800).

Almost surely, 2^7706758416 is an apocalyptic number.

7706758416 is a gapful number since it is divisible by the number (76) 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 7706758416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892032000).

7706758416 is an abundant number, since it is smaller than the sum of its proper divisors (18077305584).

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

7706758416 is a wasteful number, since it uses less digits than its factorization.

7706758416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 7706758416 is about 87788.1450766560. The cubic root of 7706758416 is about 1975.2583898220.

The spelling of 7706758416 in words is "seven billion, seven hundred six million, seven hundred fifty-eight thousand, four hundred sixteen".