820353031200 has 504 divisors, whose sum is σ = 3020995268928. Its totient is φ = 217425047040.

The previous prime is 820353031193. The next prime is 820353031219. The reversal of 820353031200 is 2130353028.

820353031200 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 530 + 3 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 97390189 + ... + 97398611.

It is an arithmetic number, because the mean of its divisors is an integer number (5994038232).

Almost surely, 2^820353031200 is an apocalyptic number.

820353031200 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 820353031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510497634464).

820353031200 is an abundant number, since it is smaller than the sum of its proper divisors (2200642237728).

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

820353031200 is a wasteful number, since it uses less digits than its factorization.

820353031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8628 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 820353031200 its reverse (2130353028), we get a palindrome (822483384228).

The spelling of 820353031200 in words is "eight hundred twenty billion, three hundred fifty-three million, thirty-one thousand, two hundred".