738833680 has 80 divisors (see below), whose sum is σ = 1858474800. Its totient is φ = 271540224.

The previous prime is 738833659. The next prime is 738833687. The reversal of 738833680 is 86338837.

It can be written as a sum of positive squares in 8 ways, for example, as 271063296 + 467770384 = 16464^2 + 21628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 738833680.

It is not an unprimeable number, because it can be changed into a prime (738833687) 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 15 ways as a sum of consecutive naturals, for example, 240796 + ... + 243844.

It is an arithmetic number, because the mean of its divisors is an integer number (23230935).

Almost surely, 2^738833680 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 738833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929237400).

738833680 is an abundant number, since it is smaller than the sum of its proper divisors (1119641120).

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

738833680 is a wasteful number, since it uses less digits than its factorization.

738833680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 738833680 is about 27181.4951759464. The cubic root of 738833680 is about 904.0287209921.

The spelling of 738833680 in words is "seven hundred thirty-eight million, eight hundred thirty-three thousand, six hundred eighty".