806442100 has 72 divisors (see below), whose sum is σ = 1832257728. Its totient is φ = 307507200.

The previous prime is 806442089. The next prime is 806442103. The reversal of 806442100 is 1244608.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806442103) 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, 1257780 + ... + 1258420.

It is an arithmetic number, because the mean of its divisors is an integer number (25448024).

Almost surely, 2^806442100 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 806442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916128864).

806442100 is an abundant number, since it is smaller than the sum of its proper divisors (1025815628).

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

806442100 is a wasteful number, since it uses less digits than its factorization.

806442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 806442100 is about 28397.9242199144. The cubic root of 806442100 is about 930.8029062648.

Adding to 806442100 its reverse (1244608), we get a palindrome (807686708).

The spelling of 806442100 in words is "eight hundred six million, four hundred forty-two thousand, one hundred".