76320140121 has 27 divisors (see below), whose sum is σ = 111901026783. Its totient is φ = 50124795840.

The previous prime is 76320140111. The next prime is 76320140129. The reversal of 76320140121 is 12104102367.

The square root of 76320140121 is 276261.

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

76320140121 is a `hidden beast` number, since 7 + 632 + 0 + 1 + 4 + 0 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76084947225 + 235192896 = 275835^2 + 15336^2 .

It is not a de Polignac number, because 76320140121 - 2¹¹ = 76320138073 is a prime.

It is a super-3 number, since 3×76320140121³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76320140129) 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 26 ways as a sum of consecutive naturals, for example, 58842945 + ... + 58844241.

Almost surely, 2^76320140121 is an apocalyptic number.

76320140121 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

76320140121 is the 276261-st square number.

76320140121 is the 138131-st centered octagonal number.

It is an amenable number.

76320140121 is a deficient number, since it is larger than the sum of its proper divisors (35580886662).

76320140121 is an frugal number, since it uses more digits than its factorization.

76320140121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 76320140121 its reverse (12104102367), we get a palindrome (88424242488).

The spelling of 76320140121 in words is "seventy-six billion, three hundred twenty million, one hundred forty thousand, one hundred twenty-one".