822640000 has 320 divisors, whose sum is σ = 2542811040. Its totient is φ = 258048000.

The previous prime is 822639989. The next prime is 822640037. The reversal of 822640000 is 46228.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 7279944 + ... + 7280056.

Almost surely, 2^822640000 is an apocalyptic number.

822640000 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 822640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271405520).

822640000 is an abundant number, since it is smaller than the sum of its proper divisors (1720171040).

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

822640000 is a wasteful number, since it uses less digits than its factorization.

822640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 822640000 is about 28681.7014836986. The cubic root of 822640000 is about 936.9935635099.

Adding to 822640000 its reverse (46228), we get a palindrome (822686228).

The spelling of 822640000 in words is "eight hundred twenty-two million, six hundred forty thousand".