828478776 has 64 divisors (see below), whose sum is σ = 2140992000. Its totient is φ = 266997248.

The previous prime is 828478771. The next prime is 828478787. The reversal of 828478776 is 677874828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828478771) 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 15 ways as a sum of consecutive naturals, for example, 89200 + ... + 98048.

It is an arithmetic number, because the mean of its divisors is an integer number (33453000).

Almost surely, 2^828478776 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 828478776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070496000).

828478776 is an abundant number, since it is smaller than the sum of its proper divisors (1312513224).

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

828478776 is a wasteful number, since it uses less digits than its factorization.

828478776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988 (or 8984 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 57.

The square root of 828478776 is about 28783.3072456936. The cubic root of 828478776 is about 939.2051436683.

The spelling of 828478776 in words is "eight hundred twenty-eight million, four hundred seventy-eight thousand, seven hundred seventy-six".