806232000 has 224 divisors, whose sum is σ = 3043123200. Its totient is φ = 184243200.

The previous prime is 806231989. The next prime is 806232013. The reversal of 806232000 is 232608.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165601 + ... + 170399.

Almost surely, 2^806232000 is an apocalyptic number.

806232000 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 806232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521561600).

806232000 is an abundant number, since it is smaller than the sum of its proper divisors (2236891200).

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

806232000 is a wasteful number, since it uses less digits than its factorization.

806232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 806232000 is about 28394.2247649060. The cubic root of 806232000 is about 930.7220661251.

Adding to 806232000 its reverse (232608), we get a palindrome (806464608).

The spelling of 806232000 in words is "eight hundred six million, two hundred thirty-two thousand".