8001576720 has 240 divisors, whose sum is σ = 28428716160. Its totient is φ = 2012719104.

The previous prime is 8001576691. The next prime is 8001576721. The reversal of 8001576720 is 276751008.

8001576720 is a `hidden beast` number, since 80 + 0 + 1 + 576 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8001576721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1205571 + ... + 1212189.

It is an arithmetic number, because the mean of its divisors is an integer number (118452984).

Almost surely, 2^8001576720 is an apocalyptic number.

8001576720 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 8001576720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214358080).

8001576720 is an abundant number, since it is smaller than the sum of its proper divisors (20427139440).

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

8001576720 is a wasteful number, since it uses less digits than its factorization.

8001576720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 8001576720 is about 89451.5327984937. The cubic root of 8001576720 is about 2000.1313847022.

The spelling of 8001576720 in words is "eight billion, one million, five hundred seventy-six thousand, seven hundred twenty".