76681917225 has 27 divisors (see below), whose sum is σ = 137353274149. Its totient is φ = 40894807200.

The previous prime is 76681917127. The next prime is 76681917227. The reversal of 76681917225 is 52271918667.

The square root of 76681917225 is 276915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32450779881 + 44231137344 = 180141^2 + 210312^2 .

It is not a de Polignac number, because 76681917225 - 2¹³ = 76681909033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76681917227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4144495 + ... + 4162955.

Almost surely, 2^76681917225 is an apocalyptic number.

76681917225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76681917225 is the 276915-th square number.

76681917225 is the 138458-th centered octagonal number.

It is an amenable number.

76681917225 is a deficient number, since it is larger than the sum of its proper divisors (60671356924).

76681917225 is an frugal number, since it uses more digits than its factorization.

76681917225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36938 (or 18469 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 76681917225 in words is "seventy-six billion, six hundred eighty-one million, nine hundred seventeen thousand, two hundred twenty-five".