806859900 has 288 divisors, whose sum is σ = 3234792960. Its totient is φ = 167616000.

The previous prime is 806859881. The next prime is 806859901. The reversal of 806859900 is 9958608.

806859900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806859901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205960 + ... + 209840.

It is an arithmetic number, because the mean of its divisors is an integer number (11231920).

Almost surely, 2^806859900 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 806859900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617396480).

806859900 is an abundant number, since it is smaller than the sum of its proper divisors (2427933060).

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

806859900 is a wasteful number, since it uses less digits than its factorization.

806859900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 806859900 is about 28405.2794388649. The cubic root of 806859900 is about 930.9636213842.

The spelling of 806859900 in words is "eight hundred six million, eight hundred fifty-nine thousand, nine hundred".