8056661760 has 720 divisors, whose sum is σ = 34937977536. Its totient is φ = 1730543616.

The previous prime is 8056661759. The next prime is 8056661773. The reversal of 8056661760 is 671666508.

It is a tau number, because it is divible by the number of its divisors (720).

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, 12337594 + ... + 12338246.

Almost surely, 2^8056661760 is an apocalyptic number.

8056661760 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 8056661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17468988768).

8056661760 is an abundant number, since it is smaller than the sum of its proper divisors (26881315776).

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

8056661760 is a wasteful number, since it uses less digits than its factorization.

8056661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8056661760 is about 89758.9090842798. The cubic root of 8056661760 is about 2004.7107092314.

The spelling of 8056661760 in words is "eight billion, fifty-six million, six hundred sixty-one thousand, seven hundred sixty".