766529120 has 96 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 262043136.

The previous prime is 766529117. The next prime is 766529129. The reversal of 766529120 is 21925667.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766529129) 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, 490901 + ... + 492459.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2^766529120 is an apocalyptic number.

766529120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

766529120 is an abundant number, since it is smaller than the sum of its proper divisors (1309144480).

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

766529120 is a wasteful number, since it uses less digits than its factorization.

766529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 766529120 is about 27686.2622973922. The cubic root of 766529120 is about 915.1863894132.

The spelling of 766529120 in words is "seven hundred sixty-six million, five hundred twenty-nine thousand, one hundred twenty".