822687920 has 80 divisors (see below), whose sum is σ = 2060439552. Its totient is φ = 304592640.

The previous prime is 822687913. The next prime is 822687923. The reversal of 822687920 is 29786228.

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 (822687923) 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, 49829 + ... + 64251.

Almost surely, 2^822687920 is an apocalyptic number.

822687920 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 822687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030219776).

822687920 is an abundant number, since it is smaller than the sum of its proper divisors (1237751632).

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

822687920 is a wasteful number, since it uses less digits than its factorization.

822687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14490 (or 14484 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 822687920 is about 28682.5368473571. The cubic root of 822687920 is about 937.0117569115.

The spelling of 822687920 in words is "eight hundred twenty-two million, six hundred eighty-seven thousand, nine hundred twenty".