760320 has 160 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 184320.

The previous prime is 760301. The next prime is 760321. The reversal of 760320 is 23067.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 760293 and 760302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760321) by changing a digit.

760320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69115 + ... + 69125.

It is an arithmetic number, because the mean of its divisors is an integer number (18414).

2⁷⁶⁰³²⁰ 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 760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473120).

760320 is an abundant number, since it is smaller than the sum of its proper divisors (2185920).

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

760320 is a wasteful number, since it uses less digits than its factorization.

760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 760320 is about 871.9633019801. The cubic root of 760320 is about 91.2708590583.

Adding to 760320 its reverse (23067), we get a palindrome (783387).

The spelling of 760320 in words is "seven hundred sixty thousand, three hundred twenty".