828879600 has 120 divisors (see below), whose sum is σ = 2679959920. Its totient is φ = 218972160.

The previous prime is 828879577. The next prime is 828879641. The reversal of 828879600 is 6978828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 828879600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127632 + ... + 133968.

Almost surely, 2^828879600 is an apocalyptic number.

828879600 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 828879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339979960).

828879600 is an abundant number, since it is smaller than the sum of its proper divisors (1851080320).

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

828879600 is a wasteful number, since it uses less digits than its factorization.

828879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 828879600 is about 28790.2691894327. The cubic root of 828879600 is about 939.3565839863.

The spelling of 828879600 in words is "eight hundred twenty-eight million, eight hundred seventy-nine thousand, six hundred".