766726272 has 96 divisors (see below), whose sum is σ = 2376099180. Its totient is φ = 235911168.

The previous prime is 766726243. The next prime is 766726277. The reversal of 766726272 is 272627667.

It can be written as a sum of positive squares in 2 ways, for example, as 749883456 + 16842816 = 27384^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (766726277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10623 + ... + 40574.

Almost surely, 2^766726272 is an apocalyptic number.

766726272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

766726272 is an abundant number, since it is smaller than the sum of its proper divisors (1609372908).

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

766726272 is a wasteful number, since it uses less digits than its factorization.

766726272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51230 (or 51215 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 766726272 is about 27689.8225346426. The cubic root of 766726272 is about 915.2648449498.

It can be divided in two parts, 76672 and 6272, that added together give a square (82944 = 288²).

The spelling of 766726272 in words is "seven hundred sixty-six million, seven hundred twenty-six thousand, two hundred seventy-two".