745505280 has 480 divisors, whose sum is σ = 2949186240. Its totient is φ = 172523520.

The previous prime is 745505269. The next prime is 745505281. The reversal of 745505280 is 82505547.

It is a happy number.

745505280 is a `hidden beast` number, since 74 + 5 + 505 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745505281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690815 + ... + 5690945.

It is an arithmetic number, because the mean of its divisors is an integer number (6144138).

Almost surely, 2^745505280 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 745505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474593120).

745505280 is an abundant number, since it is smaller than the sum of its proper divisors (2203680960).

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

745505280 is a wasteful number, since it uses less digits than its factorization.

745505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 745505280 is about 27303.9425724565. The cubic root of 745505280 is about 906.7416700736.

The spelling of 745505280 in words is "seven hundred forty-five million, five hundred five thousand, two hundred eighty".