76440637441 has 27 divisors (see below), whose sum is σ = 89915532417. Its totient is φ = 64795618440.

The previous prime is 76440637397. The next prime is 76440637499. The reversal of 76440637441 is 14473604467.

The square root of 76440637441 is 276479.

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

It is not a de Polignac number, because 76440637441 - 2¹⁹ = 76440113153 is a prime.

It is a super-2 number, since 2×76440637441² (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 = 76440637391 and 76440637400.

It is not an unprimeable number, because it can be changed into a prime (76440637541) 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, 245789676 + ... + 245789986.

Almost surely, 2^76440637441 is an apocalyptic number.

76440637441 is the 276479-th square number.

76440637441 is the 138240-th centered octagonal number.

It is an amenable number.

76440637441 is a deficient number, since it is larger than the sum of its proper divisors (13474894976).

76440637441 is an frugal number, since it uses more digits than its factorization.

76440637441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The spelling of 76440637441 in words is "seventy-six billion, four hundred forty million, six hundred thirty-seven thousand, four hundred forty-one".