8022065760 has 72 divisors (see below), whose sum is σ = 27375304320. Its totient is φ = 2139217152.

The previous prime is 8022065749. The next prime is 8022065801. The reversal of 8022065760 is 675602208.

8022065760 is a `hidden beast` number, since 80 + 2 + 2 + 0 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2784000 + ... + 2786879.

It is an arithmetic number, because the mean of its divisors is an integer number (380212560).

Almost surely, 2^8022065760 is an apocalyptic number.

8022065760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8022065760 is an abundant number, since it is smaller than the sum of its proper divisors (19353238560).

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

8022065760 is a wasteful number, since it uses less digits than its factorization.

8022065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570900 (or 5570889 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8022065760 is about 89565.9855078924. The cubic root of 8022065760 is about 2001.8371253019.

Adding to 8022065760 its reverse (675602208), we get a palindrome (8697667968).

The spelling of 8022065760 in words is "eight billion, twenty-two million, sixty-five thousand, seven hundred sixty".