77500005005 has 18 divisors (see below), whose sum is σ = 97237251594. Its totient is φ = 59293395744.

The previous prime is 77500005001. The next prime is 77500005017. The reversal of 77500005005 is 50050000577.

It can be written as a sum of positive squares in 3 ways, for example, as 36312676 + 77463692329 = 6026^2 + 278323^2 .

It is not a de Polignac number, because 77500005005 - 2² = 77500005001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77500005001) 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 17 ways as a sum of consecutive naturals, for example, 14314679 + ... + 14320091.

It is an arithmetic number, because the mean of its divisors is an integer number (5402069533).

Almost surely, 2^77500005005 is an apocalyptic number.

It is an amenable number.

77500005005 is a deficient number, since it is larger than the sum of its proper divisors (19737246589).

77500005005 is an frugal number, since it uses more digits than its factorization.

77500005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 6125, while the sum is 29.

Multiplying 77500005005 by its product of nonzero digits (6125), we get a square (474687530655625 = 21787325²).

The spelling of 77500005005 in words is "seventy-seven billion, five hundred million, five thousand, five".