820915200 has 396 divisors, whose sum is σ = 3365759280. Its totient is φ = 187269120.

The previous prime is 820915187. The next prime is 820915219. The reversal of 820915200 is 2519028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612546 + ... + 1613054.

Almost surely, 2^820915200 is an apocalyptic number.

820915200 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 820915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682879640).

820915200 is an abundant number, since it is smaller than the sum of its proper divisors (2544844080).

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

820915200 is a wasteful number, since it uses less digits than its factorization.

820915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 820915200 is about 28651.6177553729. The cubic root of 820915200 is about 936.3382516248.

It can be divided in two parts, 8209 and 15200, that added together give a square (23409 = 153²).

The spelling of 820915200 in words is "eight hundred twenty million, nine hundred fifteen thousand, two hundred".