806766111360 has 576 divisors, whose sum is σ = 3228485925600. Its totient is φ = 184070799360.

The previous prime is 806766111341. The next prime is 806766111383. The reversal of 806766111360 is 63111667608.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18289011 + ... + 18333069.

Almost surely, 2^806766111360 is an apocalyptic number.

806766111360 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 806766111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614242962800).

806766111360 is an abundant number, since it is smaller than the sum of its proper divisors (2421719814240).

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

806766111360 is a wasteful number, since it uses less digits than its factorization.

806766111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44129 (or 44097 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 806766111360 its reverse (63111667608), we get a palindrome (869877778968).

The spelling of 806766111360 in words is "eight hundred six billion, seven hundred sixty-six million, one hundred eleven thousand, three hundred sixty".