736808320 has 64 divisors (see below), whose sum is σ = 1769169600. Its totient is φ = 293429248.

The previous prime is 736808309. The next prime is 736808323. The reversal of 736808320 is 23808637.

736808320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 736808320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736808323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150552 + ... + 155368.

It is an arithmetic number, because the mean of its divisors is an integer number (27643275).

Almost surely, 2^736808320 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 736808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884584800).

736808320 is an abundant number, since it is smaller than the sum of its proper divisors (1032361280).

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

736808320 is a wasteful number, since it uses less digits than its factorization.

736808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 736808320 is about 27144.2133796506. The cubic root of 736808320 is about 903.2018956409.

The spelling of 736808320 in words is "seven hundred thirty-six million, eight hundred eight thousand, three hundred twenty".