806566800 has 240 divisors, whose sum is σ = 2809195200. Its totient is φ = 196638720.

The previous prime is 806566799. The next prime is 806566807. The reversal of 806566800 is 8665608.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (806566807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324227 + ... + 2324573.

It is an arithmetic number, because the mean of its divisors is an integer number (11704980).

Almost surely, 2^806566800 is an apocalyptic number.

806566800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404597600).

806566800 is an abundant number, since it is smaller than the sum of its proper divisors (2002628400).

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

806566800 is a wasteful number, since it uses less digits than its factorization.

806566800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 806566800 is about 28400.1197180575. The cubic root of 806566800 is about 930.8508804220.

The spelling of 806566800 in words is "eight hundred six million, five hundred sixty-six thousand, eight hundred".