827324400 has 120 divisors (see below), whose sum is σ = 3028825984. Its totient is φ = 189100800.

The previous prime is 827324371. The next prime is 827324401. The reversal of 827324400 is 4423728.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827324401) 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 23 ways as a sum of consecutive naturals, for example, 40846 + ... + 57645.

Almost surely, 2^827324400 is an apocalyptic number.

827324400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827324400 is an abundant number, since it is smaller than the sum of its proper divisors (2201501584).

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

827324400 is a wasteful number, since it uses less digits than its factorization.

827324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98519 (or 98508 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 827324400 is about 28763.2473827278. The cubic root of 827324400 is about 938.7687213724.

The spelling of 827324400 in words is "eight hundred twenty-seven million, three hundred twenty-four thousand, four hundred".