806941800 has 288 divisors, whose sum is σ = 3162744000. Its totient is φ = 184302720.

The previous prime is 806941789. The next prime is 806941813. The reversal of 806941800 is 8149608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 616747 + ... + 618053.

It is an arithmetic number, because the mean of its divisors is an integer number (10981750).

Almost surely, 2^806941800 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 806941800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581372000).

806941800 is an abundant number, since it is smaller than the sum of its proper divisors (2355802200).

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

806941800 is a wasteful number, since it uses less digits than its factorization.

806941800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 806941800 is about 28406.7210356986. The cubic root of 806941800 is about 930.9951193518.

The spelling of 806941800 in words is "eight hundred six million, nine hundred forty-one thousand, eight hundred".