822910480 has 80 divisors (see below), whose sum is σ = 2191645440. Its totient is φ = 281488896.

The previous prime is 822910471. The next prime is 822910481. The reversal of 822910480 is 84019228.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (822910481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 283597 + ... + 286483.

It is an arithmetic number, because the mean of its divisors is an integer number (27395568).

Almost surely, 2^822910480 is an apocalyptic number.

822910480 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 822910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095822720).

822910480 is an abundant number, since it is smaller than the sum of its proper divisors (1368734960).

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

822910480 is a wasteful number, since it uses less digits than its factorization.

822910480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 822910480 is about 28686.4162976138. The cubic root of 822910480 is about 937.0962452207.

The spelling of 822910480 in words is "eight hundred twenty-two million, nine hundred ten thousand, four hundred eighty".