822669120 has 672 divisors, whose sum is σ = 3612440832. Its totient is φ = 167215104.

The previous prime is 822669109. The next prime is 822669121. The reversal of 822669120 is 21966228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822669121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11269404 + ... + 11269476.

It is an arithmetic number, because the mean of its divisors is an integer number (5375656).

Almost surely, 2^822669120 is an apocalyptic number.

822669120 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 822669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806220416).

822669120 is an abundant number, since it is smaller than the sum of its proper divisors (2789771712).

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

822669120 is a wasteful number, since it uses less digits than its factorization.

822669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 822669120 is about 28682.2091199405. The cubic root of 822669120 is about 937.0046193507.

The spelling of 822669120 in words is "eight hundred twenty-two million, six hundred sixty-nine thousand, one hundred twenty".