745758720 has 504 divisors, whose sum is σ = 3138458544. Its totient is φ = 160432128.

The previous prime is 745758719. The next prime is 745758731. The reversal of 745758720 is 27857547.

745758720 is a `hidden beast` number, since 7 + 4 + 575 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43868152 + ... + 43868168.

Almost surely, 2^745758720 is an apocalyptic number.

745758720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569229272).

745758720 is an abundant number, since it is smaller than the sum of its proper divisors (2392699824).

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

745758720 is a wasteful number, since it uses less digits than its factorization.

745758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 745758720 is about 27308.5832660722. The cubic root of 745758720 is about 906.8444095974.

The spelling of 745758720 in words is "seven hundred forty-five million, seven hundred fifty-eight thousand, seven hundred twenty".