828803880 has 128 divisors (see below), whose sum is σ = 2773526400. Its totient is φ = 220147200.

The previous prime is 828803851. The next prime is 828803881. The reversal of 828803880 is 88308828.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (828803881) 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 31 ways as a sum of consecutive naturals, for example, 302115 + ... + 304845.

It is an arithmetic number, because the mean of its divisors is an integer number (21668175).

Almost surely, 2^828803880 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 828803880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386763200).

828803880 is an abundant number, since it is smaller than the sum of its proper divisors (1944722520).

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

828803880 is a wasteful number, since it uses less digits than its factorization.

828803880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 828803880 is about 28788.9541317499. The cubic root of 828803880 is about 939.3279790090.

The spelling of 828803880 in words is "eight hundred twenty-eight million, eight hundred three thousand, eight hundred eighty".