828370800 has 300 divisors, whose sum is σ = 3057725176. Its totient is φ = 214617600.

The previous prime is 828370757. The next prime is 828370801. The reversal of 828370800 is 8073828.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (828370801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198455 + ... + 1199145.

Almost surely, 2^828370800 is an apocalyptic number.

828370800 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 828370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528862588).

828370800 is an abundant number, since it is smaller than the sum of its proper divisors (2229354376).

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

828370800 is a wasteful number, since it uses less digits than its factorization.

828370800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 738 counting only the distinct ones).

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

The square root of 828370800 is about 28781.4315140856. The cubic root of 828370800 is about 939.1643395569.

The spelling of 828370800 in words is "eight hundred twenty-eight million, three hundred seventy thousand, eight hundred".