806713344 has 144 divisors (see below), whose sum is σ = 2417720760. Its totient is φ = 268738560.

The previous prime is 806713333. The next prime is 806713351. The reversal of 806713344 is 443317608.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 806713299 and 806713308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496854 + ... + 498474.

Almost surely, 2^806713344 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 806713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208860380).

806713344 is an abundant number, since it is smaller than the sum of its proper divisors (1611007416).

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

806713344 is an equidigital number, since it uses as much as digits as its factorization.

806713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 806713344 is about 28402.6995900038. The cubic root of 806713344 is about 930.9072520087.

The spelling of 806713344 in words is "eight hundred six million, seven hundred thirteen thousand, three hundred forty-four".