805688180 has 54 divisors (see below), whose sum is σ = 1862970102. Its totient is φ = 292469760.

The previous prime is 805688131. The next prime is 805688189. The reversal of 805688180 is 81886508.

It can be written as a sum of positive squares in 3 ways, for example, as 587771536 + 217916644 = 24244^2 + 14762^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805688189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1396052 + ... + 1396628.

Almost surely, 2^805688180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805688180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931485051).

805688180 is an abundant number, since it is smaller than the sum of its proper divisors (1057281922).

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

805688180 is a wasteful number, since it uses less digits than its factorization.

805688180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 44.

The square root of 805688180 is about 28384.6469063823. The cubic root of 805688180 is about 930.5127553566.

The spelling of 805688180 in words is "eight hundred five million, six hundred eighty-eight thousand, one hundred eighty".