8079218784 has 432 divisors, whose sum is σ = 29425975488. Its totient is φ = 2083221504.

The previous prime is 8079218759. The next prime is 8079218789. The reversal of 8079218784 is 4878129708.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8079218784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8079218789) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8621964 + ... + 8622900.

It is an arithmetic number, because the mean of its divisors is an integer number (68115684).

Almost surely, 2^8079218784 is an apocalyptic number.

8079218784 is a gapful number since it is divisible by the number (84) 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 8079218784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712987744).

8079218784 is an abundant number, since it is smaller than the sum of its proper divisors (21346756704).

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

8079218784 is a wasteful number, since it uses less digits than its factorization.

8079218784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 8079218784 is about 89884.4746549703. The cubic root of 8079218784 is about 2006.5798940905.

The spelling of 8079218784 in words is "eight billion, seventy-nine million, two hundred eighteen thousand, seven hundred eighty-four".