745717800 has 96 divisors (see below), whose sum is σ = 2320476480. Its totient is φ = 198105600.

The previous prime is 745717793. The next prime is 745717807. The reversal of 745717800 is 8717547.

It is an interprime number because it is at equal distance from previous prime (745717793) and next prime (745717807).

It is not an unprimeable number, because it can be changed into a prime (745717807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166389 + ... + 170811.

It is an arithmetic number, because the mean of its divisors is an integer number (24171630).

Almost surely, 2^745717800 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 745717800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160238240).

745717800 is an abundant number, since it is smaller than the sum of its proper divisors (1574758680).

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

745717800 is a wasteful number, since it uses less digits than its factorization.

745717800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 745717800 is about 27307.8340408023. The cubic root of 745717800 is about 906.8278230210.

The spelling of 745717800 in words is "seven hundred forty-five million, seven hundred seventeen thousand, eight hundred".