8042430760 has 256 divisors, whose sum is σ = 23099328000. Its totient is φ = 2503581696.

The previous prime is 8042430733. The next prime is 8042430761. The reversal of 8042430760 is 670342408.

It is not an unprimeable number, because it can be changed into a prime (8042430761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11949784 + ... + 11950456.

It is an arithmetic number, because the mean of its divisors is an integer number (90231750).

Almost surely, 2^8042430760 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 8042430760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549664000).

8042430760 is an abundant number, since it is smaller than the sum of its proper divisors (15056897240).

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

8042430760 is a wasteful number, since it uses less digits than its factorization.

8042430760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 8042430760 is about 89679.6005789499. The cubic root of 8042430760 is about 2003.5296637391.

The spelling of 8042430760 in words is "eight billion, forty-two million, four hundred thirty thousand, seven hundred sixty".