745680000 has 320 divisors, whose sum is σ = 2676643200. Its totient is φ = 182784000.

The previous prime is 745679989. The next prime is 745680007. The reversal of 745680000 is 86547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 745680000.

It is not an unprimeable number, because it can be changed into a prime (745680007) 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 39 ways as a sum of consecutive naturals, for example, 3119881 + ... + 3120119.

It is an arithmetic number, because the mean of its divisors is an integer number (8364510).

Almost surely, 2^745680000 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 745680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338321600).

745680000 is an abundant number, since it is smaller than the sum of its proper divisors (1930963200).

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

745680000 is a wasteful number, since it uses less digits than its factorization.

745680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 745680000 is about 27307.1419229476. The cubic root of 745680000 is about 906.8125005711.

The spelling of 745680000 in words is "seven hundred forty-five million, six hundred eighty thousand".