746320 has 40 divisors (see below), whose sum is σ = 1830240. Its totient is φ = 282240.

The previous prime is 746309. The next prime is 746329. The reversal of 746320 is 23647.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 746291 and 746300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1275 + ... + 1765.

It is an arithmetic number, because the mean of its divisors is an integer number (45756).

2⁷⁴⁶³²⁰ 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 746320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915120).

746320 is an abundant number, since it is smaller than the sum of its proper divisors (1083920).

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

746320 is a wasteful number, since it uses less digits than its factorization.

746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 746320 is about 863.8981421441. The cubic root of 746320 is about 90.7071858492.

Adding to 746320 its reverse (23647), we get a palindrome (769967).

The spelling of 746320 in words is "seven hundred forty-six thousand, three hundred twenty".