806286117120 has 288 divisors, whose sum is σ = 2820963317760. Its totient is φ = 194643025920.

The previous prime is 806286117107. The next prime is 806286117127. The reversal of 806286117120 is 21711682608.

It is not an unprimeable number, because it can be changed into a prime (806286117127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10055427 + ... + 10135293.

It is an arithmetic number, because the mean of its divisors is an integer number (9795011520).

Almost surely, 2^806286117120 is an apocalyptic number.

806286117120 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 806286117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410481658880).

806286117120 is an abundant number, since it is smaller than the sum of its proper divisors (2014677200640).

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

806286117120 is a wasteful number, since it uses less digits than its factorization.

806286117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80141 (or 80127 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

Adding to 806286117120 its reverse (21711682608), we get a palindrome (827997799728).

The spelling of 806286117120 in words is "eight hundred six billion, two hundred eighty-six million, one hundred seventeen thousand, one hundred twenty".