766053460 has 24 divisors (see below), whose sum is σ = 1609291656. Its totient is φ = 306311040.

The previous prime is 766053451. The next prime is 766053461. The reversal of 766053460 is 64350667.

It can be written as a sum of positive squares in 4 ways, for example, as 58706244 + 707347216 = 7662^2 + 26596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766053461) 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 7 ways as a sum of consecutive naturals, for example, 72090 + ... + 82030.

It is an arithmetic number, because the mean of its divisors is an integer number (67053819).

Almost surely, 2^766053460 is an apocalyptic number.

It is an amenable number.

766053460 is an abundant number, since it is smaller than the sum of its proper divisors (843238196).

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

766053460 is a wasteful number, since it uses less digits than its factorization.

766053460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13803 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 766053460 is about 27677.6707835034. The cubic root of 766053460 is about 914.9970477773.

The spelling of 766053460 in words is "seven hundred sixty-six million, fifty-three thousand, four hundred sixty".