745901520 has 640 divisors, whose sum is σ = 3149798400. Its totient is φ = 144506880.

The previous prime is 745901501. The next prime is 745901539. The reversal of 745901520 is 25109547.

745901520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (745901501) and next prime (745901539).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18192700 + ... + 18192740.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^745901520 is an apocalyptic number.

745901520 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 745901520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

745901520 is an abundant number, since it is smaller than the sum of its proper divisors (2403896880).

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

745901520 is a wasteful number, since it uses less digits than its factorization.

745901520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 745901520 is about 27311.1977035062. The cubic root of 745901520 is about 906.9022876187.

The spelling of 745901520 in words is "seven hundred forty-five million, nine hundred one thousand, five hundred twenty".