8061482880 has 640 divisors, whose sum is σ = 32026008960. Its totient is φ = 1916006400.

The previous prime is 8061482879. The next prime is 8061482899. The reversal of 8061482880 is 882841608.

It is a happy number.

8061482880 is a `hidden beast` number, since 8 + 0 + 614 + 8 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-5 number, since 5×8061482880⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38205975 + ... + 38206185.

It is an arithmetic number, because the mean of its divisors is an integer number (50040639).

Almost surely, 2^8061482880 is an apocalyptic number.

8061482880 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 8061482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013004480).

8061482880 is an abundant number, since it is smaller than the sum of its proper divisors (23964526080).

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

8061482880 is a wasteful number, since it uses less digits than its factorization.

8061482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 8061482880 is about 89785.7610091934. The cubic root of 8061482880 is about 2005.1105035872.

The spelling of 8061482880 in words is "eight billion, sixty-one million, four hundred eighty-two thousand, eight hundred eighty".