806743296 has 216 divisors, whose sum is σ = 2525402880. Its totient is φ = 246693888.

The previous prime is 806743283. The next prime is 806743307. The reversal of 806743296 is 692347608.

It is a congruent number.

It is an unprimeable number.

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, 1683985 + ... + 1684463.

It is an arithmetic number, because the mean of its divisors is an integer number (11691680).

Almost surely, 2^806743296 is an apocalyptic number.

806743296 is a gapful number since it is divisible by the number (86) 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 806743296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262701440).

806743296 is an abundant number, since it is smaller than the sum of its proper divisors (1718659584).

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

806743296 is a wasteful number, since it uses less digits than its factorization.

806743296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 806743296 is about 28403.2268589328. The cubic root of 806743296 is about 930.9187729077.

The spelling of 806743296 in words is "eight hundred six million, seven hundred forty-three thousand, two hundred ninety-six".