8062884720 has 320 divisors, whose sum is σ = 30405196800. Its totient is φ = 1947663360.

The previous prime is 8062884691. The next prime is 8062884727. The reversal of 8062884720 is 274882608.

It is a happy number.

It is a super-2 number, since 2×8062884720² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8062884727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10430254 + ... + 10431026.

It is an arithmetic number, because the mean of its divisors is an integer number (95016240).

Almost surely, 2^8062884720 is an apocalyptic number.

8062884720 is a gapful number since it is divisible by the number (80) 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 8062884720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202598400).

8062884720 is an abundant number, since it is smaller than the sum of its proper divisors (22342312080).

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

8062884720 is a wasteful number, since it uses less digits than its factorization.

8062884720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8062884720 is about 89793.5672528940. The cubic root of 8062884720 is about 2005.2267221224.

The spelling of 8062884720 in words is "eight billion, sixty-two million, eight hundred eighty-four thousand, seven hundred twenty".