745005600 has 180 divisors, whose sum is σ = 2717126874. Its totient is φ = 198650880.

The previous prime is 745005587. The next prime is 745005641. The reversal of 745005600 is 6500547.

745005600 is a `hidden beast` number, since 7 + 4 + 50 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 583512336 + 161493264 = 24156^2 + 12708^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 59052 + ... + 70548.

Almost surely, 2^745005600 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 745005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358563437).

745005600 is an abundant number, since it is smaller than the sum of its proper divisors (1972121274).

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

745005600 is a wasteful number, since it uses less digits than its factorization.

745005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 745005600 is about 27294.7907117823. The cubic root of 745005600 is about 906.5390415323.

The spelling of 745005600 in words is "seven hundred forty-five million, five thousand, six hundred".