806714304 has 112 divisors (see below), whose sum is σ = 2363638656. Its totient is φ = 240768000.

The previous prime is 806714297. The next prime is 806714317. The reversal of 806714304 is 403417608.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138654 + ... + 144354.

Almost surely, 2^806714304 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 806714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181819328).

806714304 is an abundant number, since it is smaller than the sum of its proper divisors (1556924352).

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

806714304 is a wasteful number, since it uses less digits than its factorization.

806714304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 806714304 is about 28402.7164898008. The cubic root of 806714304 is about 930.9076212727.

The spelling of 806714304 in words is "eight hundred six million, seven hundred fourteen thousand, three hundred four".