83422768900 has 81 divisors (see below), whose sum is σ = 192415724319. Its totient is φ = 31387733760.

The previous prime is 83422768859. The next prime is 83422768993. The reversal of 83422768900 is 986722438.

The square root of 83422768900 is 288830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1951342276 + 81471426624 = 44174^2 + 285432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49100251 + ... + 49101949.

Almost surely, 2^83422768900 is an apocalyptic number.

83422768900 is the 288830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83422768900

83422768900 is an abundant number, since it is smaller than the sum of its proper divisors (108992955419).

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

83422768900 is a wasteful number, since it uses less digits than its factorization.

83422768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 83422768900 by its sum of digits (49), we get a square (4087715676100 = 2021810²).

The spelling of 83422768900 in words is "eighty-three billion, four hundred twenty-two million, seven hundred sixty-eight thousand, nine hundred".