77975222408164 has 27 divisors (see below), whose sum is σ = 136592607500713. Its totient is φ = 38948801780672.

The previous prime is 77975222408119. The next prime is 77975222408179. The reversal of 77975222408164 is 46180422257977.

The square root of 77975222408164 is 8830358.

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., 7921804284900 + 70053418123264 = 2814570^2 + 8369792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77975222408096 and 77975222408105.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27427090527 + ... + 27427093369.

Almost surely, 2^{77975222408164} is an apocalyptic number.

77975222408164 is the 8830358-th square number.

It is an amenable number.

77975222408164 is a deficient number, since it is larger than the sum of its proper divisors (58617385092549).

77975222408164 is an frugal number, since it uses more digits than its factorization.

77975222408164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 64.

The spelling of 77975222408164 in words is "seventy-seven trillion, nine hundred seventy-five billion, two hundred twenty-two million, four hundred eight thousand, one hundred sixty-four".