806883000 has 384 divisors, whose sum is σ = 3201120000. Its totient is φ = 167328000.

The previous prime is 806882983. The next prime is 806883001. The reversal of 806883000 is 388608.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806883001) 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 95 ways as a sum of consecutive naturals, for example, 1616751 + ... + 1617249.

It is an arithmetic number, because the mean of its divisors is an integer number (8336250).

Almost surely, 2^806883000 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 806883000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600560000).

806883000 is an abundant number, since it is smaller than the sum of its proper divisors (2394237000).

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

806883000 is a wasteful number, since it uses less digits than its factorization.

806883000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 806883000 is about 28405.6860505076. The cubic root of 806883000 is about 930.9725056421.

The spelling of 806883000 in words is "eight hundred six million, eight hundred eighty-three thousand".