822010000 has 100 divisors (see below), whose sum is σ = 2274671872. Its totient is φ = 281808000.

The previous prime is 822009997. The next prime is 822010073. The reversal of 822010000 is 10228.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64129 + ... + 75871.

Almost surely, 2^822010000 is an apocalyptic number.

822010000 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 822010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137335936).

822010000 is an abundant number, since it is smaller than the sum of its proper divisors (1452661872).

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

822010000 is a wasteful number, since it uses less digits than its factorization.

822010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 822010000 is about 28670.7167681591. The cubic root of 822010000 is about 936.7543107383.

Adding to 822010000 its reverse (10228), we get a palindrome (822020228).

The spelling of 822010000 in words is "eight hundred twenty-two million, ten thousand".