8065807680 has 168 divisors, whose sum is σ = 29790164448. Its totient is φ = 1843602432.

The previous prime is 8065807679. The next prime is 8065807691. The reversal of 8065807680 is 867085608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 38694 + ... + 132773.

Almost surely, 2^8065807680 is an apocalyptic number.

8065807680 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 8065807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895082224).

8065807680 is an abundant number, since it is smaller than the sum of its proper divisors (21724356768).

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

8065807680 is a wasteful number, since it uses less digits than its factorization.

8065807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171501 (or 171484 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 8065807680 is about 89809.8417769456. The cubic root of 8065807680 is about 2005.4690046957.

The spelling of 8065807680 in words is "eight billion, sixty-five million, eight hundred seven thousand, six hundred eighty".