76436766784 has 63 divisors (see below), whose sum is σ = 176478907773. Its totient is φ = 32751979008.

The previous prime is 76436766727. The next prime is 76436766787. The reversal of 76436766784 is 48766763467.

The square root of 76436766784 is 276472.

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., 33225998400 + 43210768384 = 182280^2 + 207872^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (76436766787) 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, 15479964 + ... + 15484900.

Almost surely, 2^76436766784 is an apocalyptic number.

76436766784 is the 276472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76436766784

76436766784 is an abundant number, since it is smaller than the sum of its proper divisors (100042140989).

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

76436766784 is an frugal number, since it uses more digits than its factorization.

76436766784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 4946 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 64.

Multiplying 76436766784 by its sum of digits (64), we get a square (4891953074176 = 2211776²).

76436766784 divided by its sum of digits (64) gives a square (1194324481 = 34559²).

The spelling of 76436766784 in words is "seventy-six billion, four hundred thirty-six million, seven hundred sixty-six thousand, seven hundred eighty-four".