8056788480 has 480 divisors, whose sum is σ = 30903897024. Its totient is φ = 1926955008.

The previous prime is 8056788463. The next prime is 8056788499. The reversal of 8056788480 is 848876508.

8056788480 is a `hidden beast` number, since 80 + 5 + 6 + 7 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8056788480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11081877 + ... + 11082603.

Almost surely, 2^8056788480 is an apocalyptic number.

8056788480 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 8056788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451948512).

8056788480 is an abundant number, since it is smaller than the sum of its proper divisors (22847108544).

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

8056788480 is a wasteful number, since it uses less digits than its factorization.

8056788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 8056788480 is about 89759.6149724362. The cubic root of 8056788480 is about 2004.7212196064.

The spelling of 8056788480 in words is "eight billion, fifty-six million, seven hundred eighty-eight thousand, four hundred eighty".