829793464900 has 81 divisors (see below), whose sum is σ = 1827794938333. Its totient is φ = 326987432800.

The previous prime is 829793464897. The next prime is 829793464961. The reversal of 829793464900 is 9464397928.

The square root of 829793464900 is 910930.

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., 298725647364 + 531067817536 = 546558^2 + 728744^2 .

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, 646759659 + ... + 646760941.

Almost surely, 2^829793464900 is an apocalyptic number.

829793464900 is the 910930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829793464900

829793464900 is an abundant number, since it is smaller than the sum of its proper divisors (998001473433).

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

829793464900 is an equidigital number, since it uses as much as digits as its factorization.

829793464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 829793464900 in words is "eight hundred twenty-nine billion, seven hundred ninety-three million, four hundred sixty-four thousand, nine hundred".