745945200 has 1200 divisors, whose sum is σ = 3750759936. Its totient is φ = 136857600.

The previous prime is 745945133. The next prime is 745945217. The reversal of 745945200 is 2549547.

745945200 is a `hidden beast` number, since 7 + 45 + 94 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32432389 + ... + 32432411.

Almost surely, 2^745945200 is an apocalyptic number.

745945200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875379968).

745945200 is an abundant number, since it is smaller than the sum of its proper divisors (3004814736).

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

745945200 is a wasteful number, since it uses less digits than its factorization.

745945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 745945200 is about 27311.9973637960. The cubic root of 745945200 is about 906.9199900086.

The spelling of 745945200 in words is "seven hundred forty-five million, nine hundred forty-five thousand, two hundred".