745600 has 48 divisors (see below), whose sum is σ = 1849770. Its totient is φ = 296960.

The previous prime is 745573. The next prime is 745601. The reversal of 745600 is 6547.

It can be written as a sum of positive squares in 3 ways, for example, as 440896 + 304704 = 664^2 + 552^2 .

It is not an unprimeable number, because it can be changed into a prime (745601) 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, 3084 + ... + 3316.

2⁷⁴⁵⁶⁰⁰ 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 745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924885).

745600 is an abundant number, since it is smaller than the sum of its proper divisors (1104170).

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

745600 is a wasteful number, since it uses less digits than its factorization.

745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 745600 is about 863.4813257969. The cubic root of 745600 is about 90.6780070398.

The spelling of 745600 in words is "seven hundred forty-five thousand, six hundred".