745372800 has 192 divisors, whose sum is σ = 2728173600. Its totient is φ = 198743040.

The previous prime is 745372781. The next prime is 745372811. The reversal of 745372800 is 8273547.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×745372800² = 1111161221959680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82087 + ... + 90713.

Almost surely, 2^745372800 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 745372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364086800).

745372800 is an abundant number, since it is smaller than the sum of its proper divisors (1982800800).

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

745372800 is a wasteful number, since it uses less digits than its factorization.

745372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8660 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 745372800 is about 27301.5164413994. The cubic root of 745372800 is about 906.6879560553.

The spelling of 745372800 in words is "seven hundred forty-five million, three hundred seventy-two thousand, eight hundred".