766720 has 36 divisors (see below), whose sum is σ = 1839600. Its totient is φ = 306176.

The previous prime is 766687. The next prime is 766721. The reversal of 766720 is 27667.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 981 + ... + 1579.

It is an arithmetic number, because the mean of its divisors is an integer number (51100).

2⁷⁶⁶⁷²⁰ 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 766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919800).

766720 is an abundant number, since it is smaller than the sum of its proper divisors (1072880).

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

766720 is an equidigital number, since it uses as much as digits as its factorization.

766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 766720 is about 875.6254907208. The cubic root of 766720 is about 91.5262349250.

The spelling of 766720 in words is "seven hundred sixty-six thousand, seven hundred twenty".