830822976 has 63 divisors (see below), whose sum is σ = 2383388553. Its totient is φ = 276710400.

The previous prime is 830822939. The next prime is 830822983. The reversal of 830822976 is 679228038.

The square root of 830822976 is 28824.

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., 1382976 + 829440000 = 1176^2 + 28800^2 .

It is an unprimeable number.

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, 691176 + ... + 692376.

Almost surely, 2^830822976 is an apocalyptic number.

830822976 is the 28824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830822976

830822976 is an abundant number, since it is smaller than the sum of its proper divisors (1552565577).

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

830822976 is an equidigital number, since it uses as much as digits as its factorization.

830822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 830822976 is about 940.0901437620.

The spelling of 830822976 in words is "eight hundred thirty million, eight hundred twenty-two thousand, nine hundred seventy-six".