754920 has 80 divisors (see below), whose sum is σ = 2548260. Its totient is φ = 200448.

The previous prime is 754907. The next prime is 754921. The reversal of 754920 is 29457.

It can be written as a sum of positive squares in 2 ways, for example, as 715716 + 39204 = 846^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (754921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3124 + ... + 3356.

2⁷⁵⁴⁹²⁰ 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 754920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274130).

754920 is an abundant number, since it is smaller than the sum of its proper divisors (1793340).

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

754920 is a wasteful number, since it uses less digits than its factorization.

754920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 754920 is about 868.8613238026. The cubic root of 754920 is about 91.0542686403.

It can be divided in two parts, 7549 and 20, that added together give a square (7569 = 87²).

The spelling of 754920 in words is "seven hundred fifty-four thousand, nine hundred twenty".