745780838400 has 1152 divisors, whose sum is σ = 2981651662080. Its totient is φ = 176947200000.

The previous prime is 745780838399. The next prime is 745780838401. The reversal of 745780838400 is 4838087547.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (745780838399) and next prime (745780838401).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (745780838401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2971238275 + ... + 2971238525.

It is an arithmetic number, because the mean of its divisors is an integer number (2588239290).

Almost surely, 2^745780838400 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 745780838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490825831040).

745780838400 is an abundant number, since it is smaller than the sum of its proper divisors (2235870823680).

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

745780838400 is a wasteful number, since it uses less digits than its factorization.

745780838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 745780838400 in words is "seven hundred forty-five billion, seven hundred eighty million, eight hundred thirty-eight thousand, four hundred".