8061880320 has 384 divisors, whose sum is σ = 30875644800. Its totient is φ = 1983578112.

The previous prime is 8061880319. The next prime is 8061880357. The reversal of 8061880320 is 230881608.

8061880320 is a `hidden beast` number, since 8 + 0 + 618 + 8 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593119 + ... + 3595361.

It is an arithmetic number, because the mean of its divisors is an integer number (80405325).

Almost surely, 2^8061880320 is an apocalyptic number.

8061880320 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 8061880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437822400).

8061880320 is an abundant number, since it is smaller than the sum of its proper divisors (22813764480).

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

8061880320 is a wasteful number, since it uses less digits than its factorization.

8061880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8061880320 is about 89787.9742504529. The cubic root of 8061880320 is about 2005.1434544324.

The spelling of 8061880320 in words is "eight billion, sixty-one million, eight hundred eighty thousand, three hundred twenty".