7727972352 has 128 divisors (see below), whose sum is σ = 20803430400. Its totient is φ = 2551578624.

The previous prime is 7727972327. The next prime is 7727972359. The reversal of 7727972352 is 2532797277.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7727972295 and 7727972304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7727972359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12484299 + ... + 12484917.

It is an arithmetic number, because the mean of its divisors is an integer number (162526800).

Almost surely, 2^7727972352 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 7727972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401715200).

7727972352 is an abundant number, since it is smaller than the sum of its proper divisors (13075458048).

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

7727972352 is an equidigital number, since it uses as much as digits as its factorization.

7727972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 751 counting only the distinct ones).

The product of its digits is 2593080, while the sum is 51.

The square root of 7727972352 is about 87908.8866497580. The cubic root of 7727972352 is about 1977.0691215427.

The spelling of 7727972352 in words is "seven billion, seven hundred twenty-seven million, nine hundred seventy-two thousand, three hundred fifty-two".