738880 has 28 divisors (see below), whose sum is σ = 1760220. Its totient is φ = 295424.

The previous prime is 738877. The next prime is 738889. The reversal of 738880 is 88837.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 287296 = 672^2 + 536^2 .

It is not an unprimeable number, because it can be changed into a prime (738889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 835 + ... + 1474.

It is an arithmetic number, because the mean of its divisors is an integer number (62865).

2⁷³⁸⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

738880 is an abundant number, since it is smaller than the sum of its proper divisors (1021340).

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

738880 is a wasteful number, since it uses less digits than its factorization.

738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 738880 is about 859.5812934214. The cubic root of 738880 is about 90.4047612811.

The spelling of 738880 in words is "seven hundred thirty-eight thousand, eight hundred eighty".