822082800 has 720 divisors, whose sum is σ = 3533773824. Its totient is φ = 161280000.

The previous prime is 822082763. The next prime is 822082837. The reversal of 822082800 is 8280228.

It is an interprime number because it is at equal distance from previous prime (822082763) and next prime (822082837).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20050780 + ... + 20050820.

Almost surely, 2^822082800 is an apocalyptic number.

822082800 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 822082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766886912).

822082800 is an abundant number, since it is smaller than the sum of its proper divisors (2711691024).

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

822082800 is a wasteful number, since it uses less digits than its factorization.

822082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 822082800 is about 28671.9863281217. The cubic root of 822082800 is about 936.7819639707.

The spelling of 822082800 in words is "eight hundred twenty-two million, eighty-two thousand, eight hundred".