828946800 has 360 divisors, whose sum is σ = 3182416848. Its totient is φ = 199795200.

The previous prime is 828946787. The next prime is 828946823. The reversal of 828946800 is 8649828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 4791514 + ... + 4791686.

Almost surely, 2^828946800 is an apocalyptic number.

828946800 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 828946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591208424).

828946800 is an abundant number, since it is smaller than the sum of its proper divisors (2353470048).

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

828946800 is a wasteful number, since it uses less digits than its factorization.

828946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 828946800 is about 28791.4362267672. The cubic root of 828946800 is about 939.3819688780.

The spelling of 828946800 in words is "eight hundred twenty-eight million, nine hundred forty-six thousand, eight hundred".