805641100 has 72 divisors (see below), whose sum is σ = 1947875328. Its totient is φ = 286708800.

The previous prime is 805641061. The next prime is 805641107. The reversal of 805641100 is 1146508.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (805641107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43909 + ... + 59491.

It is an arithmetic number, because the mean of its divisors is an integer number (27053824).

Almost surely, 2^805641100 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 805641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973937664).

805641100 is an abundant number, since it is smaller than the sum of its proper divisors (1142234228).

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

805641100 is a wasteful number, since it uses less digits than its factorization.

805641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 805641100 is about 28383.8175726945. The cubic root of 805641100 is about 930.4946303156.

Adding to 805641100 its reverse (1146508), we get a palindrome (806787608).

The spelling of 805641100 in words is "eight hundred five million, six hundred forty-one thousand, one hundred".