8243830080 has 560 divisors, whose sum is σ = 30696627456. Its totient is φ = 2098483200.

The previous prime is 8243830069. The next prime is 8243830109. The reversal of 8243830080 is 800383428.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81622030 + ... + 81622130.

Almost surely, 2^8243830080 is an apocalyptic number.

8243830080 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 8243830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348313728).

8243830080 is an abundant number, since it is smaller than the sum of its proper divisors (22452797376).

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

8243830080 is a wasteful number, since it uses less digits than its factorization.

8243830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8243830080 is about 90795.5399785694. The cubic root of 8243830080 is about 2020.1161649367.

The spelling of 8243830080 in words is "eight billion, two hundred forty-three million, eight hundred thirty thousand, eighty".