747360 has 96 divisors (see below), whose sum is σ = 2630880. Its totient is φ = 198144.

The previous prime is 747343. The next prime is 747361. The reversal of 747360 is 63747.

747360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747361) by changing a digit.

747360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4234 + ... + 4406.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2⁷⁴⁷³⁶⁰ is an apocalyptic number.

It is a pronic number, being equal to 864×865.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315440).

747360 is an abundant number, since it is smaller than the sum of its proper divisors (1883520).

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

747360 is a wasteful number, since it uses less digits than its factorization.

747360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 747360 is about 864.4998554077. The cubic root of 747360 is about 90.7492999058.

The spelling of 747360 in words is "seven hundred forty-seven thousand, three hundred sixty".