766486120 has 32 divisors (see below), whose sum is σ = 1732016520. Its totient is φ = 305274880.

The previous prime is 766486099. The next prime is 766486121. The reversal of 766486120 is 21684667.

It can be written as a sum of positive squares in 4 ways, for example, as 474281284 + 292204836 = 21778^2 + 17094^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (766486121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31801 + ... + 50440.

Almost surely, 2^766486120 is an apocalyptic number.

It is an amenable number.

766486120 is an abundant number, since it is smaller than the sum of its proper divisors (965530400).

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

766486120 is a wasteful number, since it uses less digits than its factorization.

766486120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82485 (or 82481 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 766486120 is about 27685.4857280850. The cubic root of 766486120 is about 915.1692760166.

The spelling of 766486120 in words is "seven hundred sixty-six million, four hundred eighty-six thousand, one hundred twenty".