791970336 has 72 divisors (see below), whose sum is σ = 2257884720. Its totient is φ = 263319936.

The previous prime is 791970323. The next prime is 791970337. The reversal of 791970336 is 633079197.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 791970291 and 791970300.

It is not an unprimeable number, because it can be changed into a prime (791970337) 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 11 ways as a sum of consecutive naturals, for example, 117391 + ... + 123953.

It is an arithmetic number, because the mean of its divisors is an integer number (31359510).

Almost surely, 2^791970336 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 791970336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128942360).

791970336 is an abundant number, since it is smaller than the sum of its proper divisors (1465914384).

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

791970336 is a wasteful number, since it uses less digits than its factorization.

791970336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 791970336 is about 28141.9675218347. The cubic root of 791970336 is about 925.2014505482.

The spelling of 791970336 in words is "seven hundred ninety-one million, nine hundred seventy thousand, three hundred thirty-six".