828127800 has 480 divisors, whose sum is σ = 3176046720. Its totient is φ = 199065600.

The previous prime is 828127777. The next prime is 828127801. The reversal of 828127800 is 8721828.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828127801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8537352 + ... + 8537448.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764).

Almost surely, 2^828127800 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 828127800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588023360).

828127800 is an abundant number, since it is smaller than the sum of its proper divisors (2347918920).

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

828127800 is a wasteful number, since it uses less digits than its factorization.

828127800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 828127800 is about 28777.2097327034. The cubic root of 828127800 is about 939.0724969289.

The spelling of 828127800 in words is "eight hundred twenty-eight million, one hundred twenty-seven thousand, eight hundred".