8120352768 has 240 divisors, whose sum is σ = 24686919936. Its totient is φ = 2350120960.

The previous prime is 8120352763. The next prime is 8120352803. The reversal of 8120352768 is 8672530218.

It is a Cunningham number, because it is equal to 90113²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120352763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12435130 + ... + 12435782.

Almost surely, 2^8120352768 is an apocalyptic number.

8120352768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343459968).

8120352768 is an abundant number, since it is smaller than the sum of its proper divisors (16566567168).

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

8120352768 is a wasteful number, since it uses less digits than its factorization.

8120352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8120352768 is about 90112.9999944514. Note that the first 5 decimals coincide. The cubic root of 8120352768 is about 2009.9795191101.

The spelling of 8120352768 in words is "eight billion, one hundred twenty million, three hundred fifty-two thousand, seven hundred sixty-eight".