828794880 has 432 divisors, whose sum is σ = 3179407140. Its totient is φ = 198967296.

The previous prime is 828794873. The next prime is 828794899. The reversal of 828794880 is 88497828.

828794880 is a `hidden beast` number, since 82 + 87 + 9 + 488 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 823919616 + 4875264 = 28704^2 + 2208^2 .

It is a super-2 number, since 2×828794880² = 1373801906228428800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36034549 + ... + 36034571.

Almost surely, 2^828794880 is an apocalyptic number.

828794880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589703570).

828794880 is an abundant number, since it is smaller than the sum of its proper divisors (2350612260).

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

828794880 is a wasteful number, since it uses less digits than its factorization.

828794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 828794880 is about 28788.7978213749. The cubic root of 828794880 is about 939.3245789355.

The spelling of 828794880 in words is "eight hundred twenty-eight million, seven hundred ninety-four thousand, eight hundred eighty".