745084800 has 288 divisors, whose sum is σ = 2727794160. Its totient is φ = 193536000.

The previous prime is 745084757. The next prime is 745084811. The reversal of 745084800 is 8480547.

745084800 is a `hidden beast` number, since 74 + 508 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 1180485 + ... + 1181115.

Almost surely, 2^745084800 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 745084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363897080).

745084800 is an abundant number, since it is smaller than the sum of its proper divisors (1982709360).

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

745084800 is a wasteful number, since it uses less digits than its factorization.

745084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 745084800 is about 27296.2414995178. The cubic root of 745084800 is about 906.5711644890.

The spelling of 745084800 in words is "seven hundred forty-five million, eighty-four thousand, eight hundred".