745104000 has 384 divisors, whose sum is σ = 2667487680. Its totient is φ = 183859200.

The previous prime is 745103977. The next prime is 745104013. The reversal of 745104000 is 401547.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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, 17327979 + ... + 17328021.

Almost surely, 2^745104000 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 745104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333743840).

745104000 is an abundant number, since it is smaller than the sum of its proper divisors (1922383680).

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

745104000 is a wasteful number, since it uses less digits than its factorization.

745104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 745104000 is about 27296.5931940233. The cubic root of 745104000 is about 906.5789515297.

Adding to 745104000 its reverse (401547), we get a palindrome (745505547).

The spelling of 745104000 in words is "seven hundred forty-five million, one hundred four thousand".