806432256 has 240 divisors, whose sum is σ = 2778107904. Its totient is φ = 220188672.

The previous prime is 806432197. The next prime is 806432267. The reversal of 806432256 is 652234608.

806432256 is a `hidden beast` number, since 8 + 0 + 643 + 2 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 806432256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741345 + ... + 742431.

Almost surely, 2^806432256 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 806432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389053952).

806432256 is an abundant number, since it is smaller than the sum of its proper divisors (1971675648).

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

806432256 is a wasteful number, since it uses less digits than its factorization.

806432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 806432256 is about 28397.7508968580. The cubic root of 806432256 is about 930.7991189042.

It can be divided in two parts, 8064 and 32256, that multiplied together give a square (260112384 = 16128²).

The spelling of 806432256 in words is "eight hundred six million, four hundred thirty-two thousand, two hundred fifty-six".