77050755956736 has 135 divisors (see below), whose sum is σ = 222594017520511. Its totient is φ = 25682461753344.

The previous prime is 77050755956731. The next prime is 77050755956747. The reversal of 77050755956736 is 63765955705077.

The square root of 77050755956736 is 8777856.

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

77050755956736 is a `hidden beast` number, since 7 + 7 + 0 + 5 + 0 + 7 + 5 + 59 + 567 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77050755956731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3370685275 + ... + 3370708133.

Almost surely, 2^{77050755956736} is an apocalyptic number.

77050755956736 is the 8777856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77050755956736

77050755956736 is an abundant number, since it is smaller than the sum of its proper divisors (145543261563775).

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

77050755956736 is an frugal number, since it uses more digits than its factorization.

77050755956736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45752 (or 22864 counting only the distinct ones).

The product of its (nonzero) digits is 1458607500, while the sum is 72.

The spelling of 77050755956736 in words is "seventy-seven trillion, fifty billion, seven hundred fifty-five million, nine hundred fifty-six thousand, seven hundred thirty-six".