80806786560 has 240 divisors, whose sum is σ = 280161202464. Its totient is φ = 21525037056.

The previous prime is 80806786519. The next prime is 80806786561. The reversal of 80806786560 is 6568760808.

80806786560 is a `hidden beast` number, since 8 + 0 + 8 + 0 + 6 + 78 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 80806786497 and 80806786506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80806786561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35549584 + ... + 35551856.

Almost surely, 2^80806786560 is an apocalyptic number.

80806786560 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 80806786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140080601232).

80806786560 is an abundant number, since it is smaller than the sum of its proper divisors (199354415904).

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

80806786560 is a wasteful number, since it uses less digits than its factorization.

80806786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 80806786560 in words is "eighty billion, eight hundred six million, seven hundred eighty-six thousand, five hundred sixty".