806820432 has 80 divisors (see below), whose sum is σ = 2307804672. Its totient is φ = 240831360.

The previous prime is 806820401. The next prime is 806820439. The reversal of 806820432 is 234028608.

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

It is a junction number, because it is equal to n+sod(n) for n = 806820393 and 806820402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806820439) 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 15 ways as a sum of consecutive naturals, for example, 23973 + ... + 46779.

Almost surely, 2^806820432 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 806820432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153902336).

806820432 is an abundant number, since it is smaller than the sum of its proper divisors (1500984240).

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

806820432 is a wasteful number, since it uses less digits than its factorization.

806820432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22896 (or 22890 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 806820432 is about 28404.5847003613. The cubic root of 806820432 is about 930.9484416025.

The spelling of 806820432 in words is "eight hundred six million, eight hundred twenty thousand, four hundred thirty-two".