806803361280 has 720 divisors, whose sum is σ = 3355377277824. Its totient is φ = 178455674880.

The previous prime is 806803361279. The next prime is 806803361293. The reversal of 806803361280 is 82163308608.

806803361280 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 0 + 3 + 361 + 280 = 666.

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 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, 34986234 + ... + 35009286.

Almost surely, 2^806803361280 is an apocalyptic number.

806803361280 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 806803361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677688638912).

806803361280 is an abundant number, since it is smaller than the sum of its proper divisors (2548573916544).

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

806803361280 is a wasteful number, since it uses less digits than its factorization.

806803361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23127 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 806803361280 its reverse (82163308608), we get a palindrome (888966669888).

The spelling of 806803361280 in words is "eight hundred six billion, eight hundred three million, three hundred sixty-one thousand, two hundred eighty".