829196002404 has 729 divisors, whose sum is σ = 2821621370841. Its totient is φ = 212425234560.

The previous prime is 829196002399. The next prime is 829196002417. The reversal of 829196002404 is 404200691928.

The square root of 829196002404 is 910602.

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

829196002404 is a `hidden beast` number, since 8 + 2 + 9 + 19 + 600 + 24 + 0 + 4 = 666.

829196002404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 470692044900 + 358503957504 = 686070^2 + 598752^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a self number, because there is not a number n which added to its sum of digits gives 829196002404.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11358849312 + ... + 11358849384.

Almost surely, 2^829196002404 is an apocalyptic number.

829196002404 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

829196002404 is the 910602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829196002404

829196002404 is an abundant number, since it is smaller than the sum of its proper divisors (1992425368437).

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

829196002404 is an equidigital number, since it uses as much as digits as its factorization.

829196002404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 829196002404 in words is "eight hundred twenty-nine billion, one hundred ninety-six million, two thousand, four hundred four".