77938122276 has 405 divisors, whose sum is σ = 254545660551. Its totient is φ = 20046926592.

The previous prime is 77938122217. The next prime is 77938122313. The reversal of 77938122276 is 67222183977.

The square root of 77938122276 is 279174.

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

It can be written as a sum of positive squares in 2 ways, for example, as 24188336676 + 53749785600 = 155526^2 + 231840^2 .

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 3388614001 + ... + 3388614023.

Almost surely, 2^77938122276 is an apocalyptic number.

77938122276 is the 279174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77938122276

77938122276 is an abundant number, since it is smaller than the sum of its proper divisors (176607538275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77938122276 is a wasteful number, since it uses less digits than its factorization.

77938122276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 52 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 77938122276 in words is "seventy-seven billion, nine hundred thirty-eight million, one hundred twenty-two thousand, two hundred seventy-six".