745917120 has 448 divisors, whose sum is σ = 2944368000. Its totient is φ = 176504832.

The previous prime is 745917103. The next prime is 745917157. The reversal of 745917120 is 21719547.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 3257166 + ... + 3257394.

It is an arithmetic number, because the mean of its divisors is an integer number (6572250).

Almost surely, 2^745917120 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 745917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472184000).

745917120 is an abundant number, since it is smaller than the sum of its proper divisors (2198450880).

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

745917120 is a wasteful number, since it uses less digits than its factorization.

745917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 745917120 is about 27311.4832991546. The cubic root of 745917120 is about 906.9086099801.

The spelling of 745917120 in words is "seven hundred forty-five million, nine hundred seventeen thousand, one hundred twenty".