738000 has 120 divisors (see below), whose sum is σ = 2640456. Its totient is φ = 192000.

The previous prime is 737999. The next prime is 738011. The reversal of 738000 is 837.

738000 = T₄₀ + T₄₁ + ... + T₁₆₄.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 571536 = 408^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17980 + ... + 18020.

2⁷³⁸⁰⁰⁰ 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 738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320228).

738000 is an abundant number, since it is smaller than the sum of its proper divisors (1902456).

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

738000 is a wasteful number, since it uses less digits than its factorization.

738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 738000 is about 859.0692637966. The cubic root of 738000 is about 90.3688565810.

Adding to 738000 its reverse (837), we get a palindrome (738837).

The spelling of 738000 in words is "seven hundred thirty-eight thousand".