745311600 has 540 divisors, whose sum is σ = 2990824200. Its totient is φ = 171494400.

The previous prime is 745311557. The next prime is 745311607. The reversal of 745311600 is 6113547.

745311600 is a `hidden beast` number, since 7 + 4 + 53 + 1 + 1 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745311607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12632371 + ... + 12632429.

Almost surely, 2^745311600 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 745311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495412100).

745311600 is an abundant number, since it is smaller than the sum of its proper divisors (2245512600).

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

745311600 is a wasteful number, since it uses less digits than its factorization.

745311600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 745311600 is about 27300.3956015293. The cubic root of 745311600 is about 906.6631403650.

The spelling of 745311600 in words is "seven hundred forty-five million, three hundred eleven thousand, six hundred".