828662076 has 288 divisors, whose sum is σ = 2588931072. Its totient is φ = 228925440.

The previous prime is 828662053. The next prime is 828662077. The reversal of 828662076 is 670266828.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828662077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8542860 + ... + 8542956.

It is an arithmetic number, because the mean of its divisors is an integer number (8989344).

Almost surely, 2^828662076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828662076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294465536).

828662076 is an abundant number, since it is smaller than the sum of its proper divisors (1760268996).

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

828662076 is a wasteful number, since it uses less digits than its factorization.

828662076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 828662076 is about 28786.4912068144. The cubic root of 828662076 is about 939.2744045888.

The spelling of 828662076 in words is "eight hundred twenty-eight million, six hundred sixty-two thousand, seventy-six".