77652225677 has 16 divisors (see below), whose sum is σ = 88554522672. Its totient is φ = 67455022080.

The previous prime is 77652225671. The next prime is 77652225689.

77652225677 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 9830524201 + 67821701476 = 99149^2 + 260426^2 .

It is a cyclic number.

It is not a de Polignac number, because 77652225677 - 2⁴ = 77652225661 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 (77652225671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027527 + ... + 3053067.

It is an arithmetic number, because the mean of its divisors is an integer number (5534657667).

Almost surely, 2^77652225677 is an apocalyptic number.

It is an amenable number.

77652225677 is a deficient number, since it is larger than the sum of its proper divisors (10902296995).

77652225677 is a wasteful number, since it uses less digits than its factorization.

77652225677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39328.

The product of its digits is 17287200, while the sum is 56.

The spelling of 77652225677 in words is "seventy-seven billion, six hundred fifty-two million, two hundred twenty-five thousand, six hundred seventy-seven".