75884822784 has 135 divisors (see below), whose sum is σ = 226393155373. Its totient is φ = 25281718272.

The previous prime is 75884822773. The next prime is 75884822789. The reversal of 75884822784 is 48722848857.

The square root of 75884822784 is 275472.

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

75884822784 is a `hidden beast` number, since 7 + 5 + 88 + 482 + 2 + 78 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66069561600 + 9815261184 = 257040^2 + 99072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75884822789) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 39667012 + ... + 39668924.

Almost surely, 2^75884822784 is an apocalyptic number.

75884822784 is the 275472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75884822784

75884822784 is an abundant number, since it is smaller than the sum of its proper divisors (150508332589).

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

75884822784 is an frugal number, since it uses more digits than its factorization.

75884822784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 1918 counting only the distinct ones).

The product of its digits is 64225280, while the sum is 63.

The spelling of 75884822784 in words is "seventy-five billion, eight hundred eighty-four million, eight hundred twenty-two thousand, seven hundred eighty-four".