799007328 has 288 divisors, whose sum is σ = 2756164320. Its totient is φ = 227308032.

The previous prime is 799007309. The next prime is 799007329. The reversal of 799007328 is 823700997.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799007329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429100 + ... + 3429332.

It is an arithmetic number, because the mean of its divisors is an integer number (9570015).

Almost surely, 2^799007328 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 799007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378082160).

799007328 is an abundant number, since it is smaller than the sum of its proper divisors (1957156992).

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

799007328 is an equidigital number, since it uses as much as digits as its factorization.

799007328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 799007328 is about 28266.7176729100. The cubic root of 799007328 is about 927.9336431942.

The spelling of 799007328 in words is "seven hundred ninety-nine million, seven thousand, three hundred twenty-eight".