738900 has 54 divisors (see below), whose sum is σ = 2318862. Its totient is φ = 196800.

The previous prime is 738889. The next prime is 738917. The reversal of 738900 is 9837.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12996 + 725904 = 114^2 + 852^2 .

It is a congruent number.

It is an unprimeable number.

738900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 490 + ... + 1310.

2⁷³⁸⁹⁰⁰ 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 738900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159431).

738900 is an abundant number, since it is smaller than the sum of its proper divisors (1579962).

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

738900 is a wasteful number, since it uses less digits than its factorization.

738900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 738900 is about 859.5929269137. The cubic root of 738900 is about 90.4055769656.

The spelling of 738900 in words is "seven hundred thirty-eight thousand, nine hundred".