8052766848 has 256 divisors, whose sum is σ = 27266150400. Its totient is φ = 2291991552.

The previous prime is 8052766837. The next prime is 8052766861. The reversal of 8052766848 is 8486672508.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8052766794 and 8052766803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8878011 + ... + 8878917.

It is an arithmetic number, because the mean of its divisors is an integer number (106508400).

Almost surely, 2^8052766848 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 8052766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633075200).

8052766848 is an abundant number, since it is smaller than the sum of its proper divisors (19213383552).

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

8052766848 is a wasteful number, since it uses less digits than its factorization.

8052766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 8052766848 is about 89737.2099410273. The cubic root of 8052766848 is about 2004.3876047567.

The spelling of 8052766848 in words is "eight billion, fifty-two million, seven hundred sixty-six thousand, eight hundred forty-eight".