745875360 has 288 divisors, whose sum is σ = 2690709840. Its totient is φ = 187858944.

The previous prime is 745875353. The next prime is 745875367. The reversal of 745875360 is 63578547.

745875360 is a `hidden beast` number, since 7 + 4 + 587 + 5 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (745875353) and next prime (745875367).

It can be written as a sum of positive squares in 8 ways, for example, as 325297296 + 420578064 = 18036^2 + 20508^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (745875367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2213112 + ... + 2213448.

Almost surely, 2^745875360 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 745875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345354920).

745875360 is an abundant number, since it is smaller than the sum of its proper divisors (1944834480).

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

745875360 is a wasteful number, since it uses less digits than its factorization.

745875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 745875360 is about 27310.7187748693. The cubic root of 745875360 is about 906.8916853070.

The spelling of 745875360 in words is "seven hundred forty-five million, eight hundred seventy-five thousand, three hundred sixty".