829900864 has 63 divisors (see below), whose sum is σ = 1789719687. Its totient is φ = 381648384.

The previous prime is 829900823. The next prime is 829900873. The reversal of 829900864 is 468009928.

The square root of 829900864 is 28808.

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 383846464 + 446054400 = 19592^2 + 21120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2995894 + ... + 2996170.

It is an arithmetic number, because the mean of its divisors is an integer number (28408249).

Almost surely, 2^829900864 is an apocalyptic number.

829900864 is the 28808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829900864

829900864 is an abundant number, since it is smaller than the sum of its proper divisors (959818823).

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

829900864 is an equidigital number, since it uses as much as digits as its factorization.

829900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The cubic root of 829900864 is about 939.7422199436.

The spelling of 829900864 in words is "eight hundred twenty-nine million, nine hundred thousand, eight hundred sixty-four".