766320 has 80 divisors (see below), whose sum is σ = 2476032. Its totient is φ = 195840.

The previous prime is 766313. The next prime is 766321. The reversal of 766320 is 23667.

766320 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 (80).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7389 + ... + 7491.

2⁷⁶⁶³²⁰ 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 766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238016).

766320 is an abundant number, since it is smaller than the sum of its proper divisors (1709712).

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

766320 is a wasteful number, since it uses less digits than its factorization.

766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 766320 is about 875.3970527709. The cubic root of 766320 is about 91.5103156574.

Adding to 766320 its reverse (23667), we get a palindrome (789987).

The spelling of 766320 in words is "seven hundred sixty-six thousand, three hundred twenty".