8117770752 has 560 divisors, whose sum is σ = 30055576320. Its totient is φ = 2131992576.

The previous prime is 8117770699. The next prime is 8117770757. The reversal of 8117770752 is 2570777118.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8117770698 and 8117770707.

It is not an unprimeable number, because it can be changed into a prime (8117770757) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965449 + ... + 33965687.

It is an arithmetic number, because the mean of its divisors is an integer number (53670672).

Almost surely, 2^8117770752 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 8117770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027788160).

8117770752 is an abundant number, since it is smaller than the sum of its proper divisors (21937805568).

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

8117770752 is an equidigital number, since it uses as much as digits as its factorization.

8117770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 45.

The square root of 8117770752 is about 90098.6723098626. The cubic root of 8117770752 is about 2009.7664598344.

The spelling of 8117770752 in words is "eight billion, one hundred seventeen million, seven hundred seventy thousand, seven hundred fifty-two".