77477738996736 has 495 divisors, whose sum is σ = 250636506085713. Its totient is φ = 23829164236800.

The previous prime is 77477738996681. The next prime is 77477738996741. The reversal of 77477738996736 is 63769983777477.

The square root of 77477738996736 is 8802144.

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

77477738996736 is a `hidden beast` number, since 7 + 7 + 4 + 7 + 77 + 389 + 96 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11461203993600 + 66016535003136 = 3385440^2 + 8125056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32955225961 + ... + 32955228311.

Almost surely, 2^{77477738996736} is an apocalyptic number.

77477738996736 is the 8802144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77477738996736

77477738996736 is an abundant number, since it is smaller than the sum of its proper divisors (173158767088977).

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

77477738996736 is an frugal number, since it uses more digits than its factorization.

77477738996736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 2369 counting only the distinct ones).

The product of its digits is 98802571392, while the sum is 90.

The spelling of 77477738996736 in words is "seventy-seven trillion, four hundred seventy-seven billion, seven hundred thirty-eight million, nine hundred ninety-six thousand, seven hundred thirty-six".