806205180 has 48 divisors (see below), whose sum is σ = 2462592384. Its totient is φ = 195443520.

The previous prime is 806205163. The next prime is 806205203. The reversal of 806205180 is 81502608.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610102 + ... + 611421.

It is an arithmetic number, because the mean of its divisors is an integer number (51304008).

Almost surely, 2^806205180 is an apocalyptic number.

It is an amenable number.

806205180 is an abundant number, since it is smaller than the sum of its proper divisors (1656387204).

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

806205180 is a wasteful number, since it uses less digits than its factorization.

806205180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221546 (or 1221544 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 806205180 is about 28393.7524818401. The cubic root of 806205180 is about 930.7117455876.

Adding to 806205180 its reverse (81502608), we get a palindrome (887707788).

The spelling of 806205180 in words is "eight hundred six million, two hundred five thousand, one hundred eighty".