821315600 has 180 divisors, whose sum is σ = 2332600704. Its totient is φ = 272113920.

The previous prime is 821315549. The next prime is 821315633. The reversal of 821315600 is 6513128.

It is a self number, because there is not a number n which added to its sum of digits gives 821315600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10396361 + ... + 10396439.

Almost surely, 2^821315600 is an apocalyptic number.

821315600 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 821315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166300352).

821315600 is an abundant number, since it is smaller than the sum of its proper divisors (1511285104).

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

821315600 is a wasteful number, since it uses less digits than its factorization.

821315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 821315600 is about 28658.6042926029. The cubic root of 821315600 is about 936.4904593471.

Adding to 821315600 its reverse (6513128), we get a palindrome (827828728).

The spelling of 821315600 in words is "eight hundred twenty-one million, three hundred fifteen thousand, six hundred".