806355000 has 400 divisors, whose sum is σ = 3095852760. Its totient is φ = 194400000.

The previous prime is 806354977. The next prime is 806355031. The reversal of 806355000 is 553608.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 4454910 + ... + 4455090.

Almost surely, 2^806355000 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 806355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547926380).

806355000 is an abundant number, since it is smaller than the sum of its proper divisors (2289497760).

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

806355000 is a wasteful number, since it uses less digits than its factorization.

806355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 806355000 is about 28396.3906157103. The cubic root of 806355000 is about 930.7693945173.

The spelling of 806355000 in words is "eight hundred six million, three hundred fifty-five thousand".