821304000 has 672 divisors, whose sum is σ = 3449189952. Its totient is φ = 184320000.

The previous prime is 821303993. The next prime is 821304019. The reversal of 821304000 is 403128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13463970 + ... + 13464030.

Almost surely, 2^821304000 is an apocalyptic number.

821304000 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 821304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724594976).

821304000 is an abundant number, since it is smaller than the sum of its proper divisors (2627885952).

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

821304000 is a wasteful number, since it uses less digits than its factorization.

821304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 821304000 is about 28658.4019093878. The cubic root of 821304000 is about 936.4860504287.

Adding to 821304000 its reverse (403128), we get a palindrome (821707128).

The spelling of 821304000 in words is "eight hundred twenty-one million, three hundred four thousand".