8072304480 has 768 divisors, whose sum is σ = 32136652800. Its totient is φ = 1905057792.

The previous prime is 8072304469. The next prime is 8072304517. The reversal of 8072304480 is 844032708.

8072304480 is a `hidden beast` number, since 80 + 72 + 30 + 4 + 480 = 666.

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 127 ways as a sum of consecutive naturals, for example, 136818691 + ... + 136818749.

It is an arithmetic number, because the mean of its divisors is an integer number (41844600).

Almost surely, 2^8072304480 is an apocalyptic number.

8072304480 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 8072304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068326400).

8072304480 is an abundant number, since it is smaller than the sum of its proper divisors (24064348320).

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

8072304480 is a wasteful number, since it uses less digits than its factorization.

8072304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8072304480 is about 89846.0042517195. The cubic root of 8072304480 is about 2006.0073113725.

The spelling of 8072304480 in words is "eight billion, seventy-two million, three hundred four thousand, four hundred eighty".