8239150080 has 792 divisors, whose sum is σ = 34401636360. Its totient is φ = 1816657920.

The previous prime is 8239149983. The next prime is 8239150093. The reversal of 8239150080 is 800519328.

It can be written as a sum of positive squares in 4 ways, for example, as 130507776 + 8108642304 = 11424^2 + 90048^2 .

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 71 ways as a sum of consecutive naturals, for example, 92574676 + ... + 92574764.

Almost surely, 2^8239150080 is an apocalyptic number.

8239150080 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 8239150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200818180).

8239150080 is an abundant number, since it is smaller than the sum of its proper divisors (26162486280).

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

8239150080 is a wasteful number, since it uses less digits than its factorization.

8239150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8239150080 is about 90769.7641288111. The cubic root of 8239150080 is about 2019.7338210846.

The spelling of 8239150080 in words is "eight billion, two hundred thirty-nine million, one hundred fifty thousand, eighty".