738658880 has 112 divisors (see below), whose sum is σ = 1814626800. Its totient is φ = 286261248.

The previous prime is 738658873. The next prime is 738658889. The reversal of 738658880 is 88856837.

It can be written as a sum of positive squares in 8 ways, for example, as 4032064 + 734626816 = 2008^2 + 27104^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (738658889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644896 + ... + 1645344.

It is an arithmetic number, because the mean of its divisors is an integer number (16202025).

Almost surely, 2^738658880 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 738658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907313400).

738658880 is an abundant number, since it is smaller than the sum of its proper divisors (1075967920).

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

738658880 is a wasteful number, since it uses less digits than its factorization.

738658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The square root of 738658880 is about 27178.2795629157. The cubic root of 738658880 is about 903.9574209198.

It can be divided in two parts, 7386 and 58880, that added together give a palindrome (66266).

The spelling of 738658880 in words is "seven hundred thirty-eight million, six hundred fifty-eight thousand, eight hundred eighty".