7939777680 has 320 divisors, whose sum is σ = 28142484480. Its totient is φ = 2056513536.

The previous prime is 7939777679. The next prime is 7939777697. The reversal of 7939777680 is 867779397.

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 63 ways as a sum of consecutive naturals, for example, 19999242 + ... + 19999638.

It is an arithmetic number, because the mean of its divisors is an integer number (87945264).

Almost surely, 2^7939777680 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 7939777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071242240).

7939777680 is an abundant number, since it is smaller than the sum of its proper divisors (20202706800).

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

7939777680 is a wasteful number, since it uses less digits than its factorization.

7939777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The square root of 7939777680 is about 89105.4301375623. The cubic root of 7939777680 is about 1994.9688275982.

The spelling of 7939777680 in words is "seven billion, nine hundred thirty-nine million, seven hundred seventy-seven thousand, six hundred eighty".