8072829216 has 36 divisors (see below), whose sum is σ = 22957108902. Its totient is φ = 2690942976.

The previous prime is 8072829211. The next prime is 8072829217. The reversal of 8072829216 is 6129282708.

It can be written as a sum of positive squares in only one way, i.e., 4706508816 + 3366320400 = 68604^2 + 58020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (8072829211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14015041 + ... + 14015616.

Almost surely, 2^8072829216 is an apocalyptic number.

It is an amenable number.

8072829216 is an abundant number, since it is smaller than the sum of its proper divisors (14884279686).

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

8072829216 is a wasteful number, since it uses less digits than its factorization.

8072829216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28030673 (or 28030662 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8072829216 is about 89848.9244009075. The cubic root of 8072829216 is about 2006.0507769218.

The spelling of 8072829216 in words is "eight billion, seventy-two million, eight hundred twenty-nine thousand, two hundred sixteen".