77648594680336 has 15 divisors (see below), whose sum is σ = 150444220484973. Its totient is φ = 38824279716480.

The previous prime is 77648594680331. The next prime is 77648594680367. The reversal of 77648594680336 is 63308649584677.

It is a happy number.

The square root of 77648594680336 is 8811844.

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

It can be written as a sum of positive squares in only one way, i.e., 8529630736 + 77640065049600 = 92356^2 + 8811360^2 .

It is a super-2 number, since 2×77648594680336² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77648594680331) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 34145896 + ... + 36348856.

Almost surely, 2^{77648594680336} is an apocalyptic number.

77648594680336 is the 8811844-th square number.

It is an amenable number.

77648594680336 is a deficient number, since it is larger than the sum of its proper divisors (72795625804637).

77648594680336 is an frugal number, since it uses more digits than its factorization.

77648594680336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405930 (or 2202963 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 76.

The spelling of 77648594680336 in words is "seventy-seven trillion, six hundred forty-eight billion, five hundred ninety-four million, six hundred eighty thousand, three hundred thirty-six".