822096000 has 512 divisors, whose sum is σ = 3322425600. Its totient is φ = 198144000.

The previous prime is 822095987. The next prime is 822096001. The reversal of 822096000 is 690228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822096001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751914 + ... + 4752086.

Almost surely, 2^822096000 is an apocalyptic number.

822096000 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 822096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661212800).

822096000 is an abundant number, since it is smaller than the sum of its proper divisors (2500329600).

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

822096000 is a wasteful number, since it uses less digits than its factorization.

822096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 822096000 is about 28672.2165170396. The cubic root of 822096000 is about 936.7869778435.

It can be divided in two parts, 82209 and 6000, that added together give a square (88209 = 297²).

The spelling of 822096000 in words is "eight hundred twenty-two million, ninety-six thousand".