745876800 has 126 divisors (see below), whose sum is σ = 2651073438. Its totient is φ = 198896640.

The previous prime is 745876783. The next prime is 745876811. The reversal of 745876800 is 8678547.

745876800 is a `hidden beast` number, since 7 + 4 + 587 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 739404864 = 2544^2 + 27192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11499 + ... + 40298.

Almost surely, 2^745876800 is an apocalyptic number.

It is an amenable number.

745876800 is an abundant number, since it is smaller than the sum of its proper divisors (1905196638).

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

745876800 is a wasteful number, since it uses less digits than its factorization.

745876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51825 (or 51807 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 745876800 is about 27310.7451381320. The cubic root of 745876800 is about 906.8922689269.

The spelling of 745876800 in words is "seven hundred forty-five million, eight hundred seventy-six thousand, eight hundred".