820886000 has 80 divisors (see below), whose sum is σ = 2165406048. Its totient is φ = 298496000.

The previous prime is 820885999. The next prime is 820886009. The reversal of 820886000 is 688028.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820886009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344 + ... + 40656.

Almost surely, 2^820886000 is an apocalyptic number.

820886000 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 820886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082703024).

820886000 is an abundant number, since it is smaller than the sum of its proper divisors (1344520048).

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

820886000 is a wasteful number, since it uses less digits than its factorization.

820886000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37347 (or 37331 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 820886000 is about 28651.1081810111. The cubic root of 820886000 is about 936.3271496250.

It can be divided in two parts, 82088 and 6000, that added together give a palindrome (88088).

The spelling of 820886000 in words is "eight hundred twenty million, eight hundred eighty-six thousand".