822080448 has 448 divisors, whose sum is σ = 3007360000. Its totient is φ = 219469824.

The previous prime is 822080411. The next prime is 822080477. The reversal of 822080448 is 844080228.

822080448 is a `hidden beast` number, since 8 + 2 + 208 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 11261340 + ... + 11261412.

Almost surely, 2^822080448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503680000).

822080448 is an abundant number, since it is smaller than the sum of its proper divisors (2185279552).

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

822080448 is a wasteful number, since it uses less digits than its factorization.

822080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 822080448 is about 28671.9453124478. The cubic root of 822080448 is about 936.7810705841.

The spelling of 822080448 in words is "eight hundred twenty-two million, eighty thousand, four hundred forty-eight".