820608000 has 176 divisors, whose sum is σ = 2730927264. Its totient is φ = 218726400.

The previous prime is 820607999. The next prime is 820608011. The reversal of 820608000 is 806028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382932 + ... + 385068.

Almost surely, 2^820608000 is an apocalyptic number.

820608000 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 820608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365463632).

820608000 is an abundant number, since it is smaller than the sum of its proper divisors (1910319264).

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

820608000 is a wasteful number, since it uses less digits than its factorization.

820608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 820608000 is about 28646.2562999077. The cubic root of 820608000 is about 936.2214393163.

The spelling of 820608000 in words is "eight hundred twenty million, six hundred eight thousand".