822333680 has 240 divisors, whose sum is σ = 2392659360. Its totient is φ = 261273600.

The previous prime is 822333649. The next prime is 822333703. The reversal of 822333680 is 86333228.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 822333680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4543190 + ... + 4543370.

It is an arithmetic number, because the mean of its divisors is an integer number (9969414).

Almost surely, 2^822333680 is an apocalyptic number.

822333680 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 822333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196329680).

822333680 is an abundant number, since it is smaller than the sum of its proper divisors (1570325680).

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

822333680 is a wasteful number, since it uses less digits than its factorization.

822333680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 822333680 is about 28676.3609964723. The cubic root of 822333680 is about 936.8772487586.

The spelling of 822333680 in words is "eight hundred twenty-two million, three hundred thirty-three thousand, six hundred eighty".