820920000 has 140 divisors (see below), whose sum is σ = 2714549816. Its totient is φ = 218880000.

The previous prime is 820919989. The next prime is 820920013. The reversal of 820920000 is 29028.

820920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 116580 + ... + 123420.

Almost surely, 2^820920000 is an apocalyptic number.

820920000 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 820920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357274908).

820920000 is an abundant number, since it is smaller than the sum of its proper divisors (1893629816).

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

820920000 is an equidigital number, since it uses as much as digits as its factorization.

820920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 820920000 is about 28651.7015201541. The cubic root of 820920000 is about 936.3400765858.

Adding to 820920000 its reverse (29028), we get a palindrome (820949028).

The spelling of 820920000 in words is "eight hundred twenty million, nine hundred twenty thousand".