76261348801 has 12 divisors (see below), whose sum is σ = 83831183716. Its totient is φ = 69322936320.

The previous prime is 76261348799. The next prime is 76261348843. The reversal of 76261348801 is 10884316267.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2440458801 + 73820890000 = 49401^2 + 271700^2 .

It is not a de Polignac number, because 76261348801 - 2¹ = 76261348799 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76261348861) 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 11 ways as a sum of consecutive naturals, for example, 2680885 + ... + 2709181.

Almost surely, 2^76261348801 is an apocalyptic number.

It is an amenable number.

76261348801 is a deficient number, since it is larger than the sum of its proper divisors (7569834915).

76261348801 is a wasteful number, since it uses less digits than its factorization.

76261348801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50592 (or 50581 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 76261348801 in words is "seventy-six billion, two hundred sixty-one million, three hundred forty-eight thousand, eight hundred one".