766600720 has 80 divisors (see below), whose sum is σ = 1892222640. Its totient is φ = 287834112.

The previous prime is 766600717. The next prime is 766600721. The reversal of 766600720 is 27006667.

It can be written as a sum of positive squares in 8 ways, for example, as 85599504 + 681001216 = 9252^2 + 26096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (766600721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996496 + ... + 997264.

It is an arithmetic number, because the mean of its divisors is an integer number (23652783).

Almost surely, 2^766600720 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 766600720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946111320).

766600720 is an abundant number, since it is smaller than the sum of its proper divisors (1125621920).

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

766600720 is a wasteful number, since it uses less digits than its factorization.

766600720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 766600720 is about 27687.5553272585. Note that the first 3 decimals coincide. The cubic root of 766600720 is about 915.2148837885.

The spelling of 766600720 in words is "seven hundred sixty-six million, six hundred thousand, seven hundred twenty".