828979200 has 432 divisors, whose sum is σ = 3406188240. Its totient is φ = 188743680.

The previous prime is 828979189. The next prime is 828979237. The reversal of 828979200 is 2979828.

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

It is a congruent number.

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, 3225472 + ... + 3225728.

It is an arithmetic number, because the mean of its divisors is an integer number (7884695).

Almost surely, 2^828979200 is an apocalyptic number.

828979200 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 828979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703094120).

828979200 is an abundant number, since it is smaller than the sum of its proper divisors (2577209040).

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

828979200 is a wasteful number, since it uses less digits than its factorization.

828979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 828979200 is about 28791.9988885801. The cubic root of 828979200 is about 939.3942075321.

The spelling of 828979200 in words is "eight hundred twenty-eight million, nine hundred seventy-nine thousand, two hundred".