806368752 has 120 divisors (see below), whose sum is σ = 2730869856. Its totient is φ = 216834048.

The previous prime is 806368733. The next prime is 806368757. The reversal of 806368752 is 257863608.

806368752 is a `hidden beast` number, since 8 + 0 + 636 + 8 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 806368698 and 806368707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806368757) 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 23 ways as a sum of consecutive naturals, for example, 6393 + ... + 40664.

Almost surely, 2^806368752 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 806368752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365434928).

806368752 is an abundant number, since it is smaller than the sum of its proper divisors (1924501104).

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

806368752 is a wasteful number, since it uses less digits than its factorization.

806368752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47095 (or 47086 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 806368752 is about 28396.6327581282. The cubic root of 806368752 is about 930.7746857633.

The spelling of 806368752 in words is "eight hundred six million, three hundred sixty-eight thousand, seven hundred fifty-two".