76192008841 has 27 divisors (see below), whose sum is σ = 87712642431. Its totient is φ = 66140964864.

The previous prime is 76192008799. The next prime is 76192008863. The reversal of 76192008841 is 14880029167.

The square root of 76192008841 is 276029.

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

It can be written as a sum of positive squares in 13 ways, for example, as 51974424441 + 24217584400 = 227979^2 + 155620^2 .

It is not a de Polignac number, because 76192008841 - 2⁹ = 76192008329 is a prime.

It is a super-2 number, since 2×76192008841² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76192008791 and 76192008800.

It is not an unprimeable number, because it can be changed into a prime (76192008881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61001785 + ... + 61003033.

Almost surely, 2^76192008841 is an apocalyptic number.

76192008841 is the 276029-th square number.

76192008841 is the 138015-th centered octagonal number.

It is an amenable number.

76192008841 is a deficient number, since it is larger than the sum of its proper divisors (11520633590).

76192008841 is an equidigital number, since it uses as much as digits as its factorization.

76192008841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 76192008841 in words is "seventy-six billion, one hundred ninety-two million, eight thousand, eight hundred forty-one".