828807300 has 108 divisors (see below), whose sum is σ = 2710868160. Its totient is φ = 211400640.

The previous prime is 828807293. The next prime is 828807311. The reversal of 828807300 is 3708828.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 681 + ... + 40719.

Almost surely, 2^828807300 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 828807300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355434080).

828807300 is an abundant number, since it is smaller than the sum of its proper divisors (1882060860).

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

828807300 is a wasteful number, since it uses less digits than its factorization.

828807300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40082 (or 40072 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 828807300 is about 28789.0135294699. The cubic root of 828807300 is about 939.3292710305.

The spelling of 828807300 in words is "eight hundred twenty-eight million, eight hundred seven thousand, three hundred".