738756 has 18 divisors (see below), whose sum is σ = 1867502. Its totient is φ = 246240.

The previous prime is 738743. The next prime is 738757. The reversal of 738756 is 657837.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 72900 = 816^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 20521 = 738756 / (7 + 3 + 8 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 738756.

It is not an unprimeable number, because it can be changed into a prime (738757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10225 + ... + 10296.

2⁷³⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

738756 is an abundant number, since it is smaller than the sum of its proper divisors (1128746).

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

738756 is a wasteful number, since it uses less digits than its factorization.

738756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20531 (or 20526 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 738756 is about 859.5091622548. The cubic root of 738756 is about 90.3997037085.

Subtracting from 738756 its sum of digits (36), we obtain a triangular number (738720 = T₁₂₁₅).

The spelling of 738756 in words is "seven hundred thirty-eight thousand, seven hundred fifty-six".