8072960000 has 480 divisors, whose sum is σ = 24869164320. Its totient is φ = 2555904000.

The previous prime is 8072959981. The next prime is 8072960039. The reversal of 8072960000 is 692708.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152319974 + ... + 152320026.

It is an arithmetic number, because the mean of its divisors is an integer number (51810759).

Almost surely, 2^8072960000 is an apocalyptic number.

8072960000 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 8072960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434582160).

8072960000 is an abundant number, since it is smaller than the sum of its proper divisors (16796204320).

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

8072960000 is an equidigital number, since it uses as much as digits as its factorization.

8072960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 8072960000 is about 89849.6521974348. The cubic root of 8072960000 is about 2006.0616098826.

The spelling of 8072960000 in words is "eight billion, seventy-two million, nine hundred sixty thousand".