78252229696 has 63 divisors (see below), whose sum is σ = 157767421701. Its totient is φ = 38509576704.

The previous prime is 78252229691. The next prime is 78252229697. The reversal of 78252229696 is 69692225287.

The square root of 78252229696 is 279736.

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., 44419777600 + 33832452096 = 210760^2 + 183936^2 .

It is a super-2 number, since 2×78252229696² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78252229696.

It is not an unprimeable number, because it can be changed into a prime (78252229691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163365585 + ... + 163366063.

Almost surely, 2^78252229696 is an apocalyptic number.

78252229696 is the 279736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78252229696

78252229696 is an abundant number, since it is smaller than the sum of its proper divisors (79515192005).

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

78252229696 is an frugal number, since it uses more digits than its factorization.

78252229696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 554 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

It can be divided in two parts, 782522 and 29696, that added together give a palindrome (812218).

The spelling of 78252229696 in words is "seventy-eight billion, two hundred fifty-two million, two hundred twenty-nine thousand, six hundred ninety-six".