7821900 has 72 divisors (see below), whose sum is σ = 25154640. Its totient is φ = 2085120.

The previous prime is 7821893. The next prime is 7821907. The reversal of 7821900 is 91287.

It is an interprime number because it is at equal distance from previous prime (7821893) and next prime (7821907).

It is a super-2 number, since 2×7821900² = 122364239220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7821907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252 + ... + 4148.

It is an arithmetic number, because the mean of its divisors is an integer number (349370).

Almost surely, 2^7821900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7821900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577320).

7821900 is an abundant number, since it is smaller than the sum of its proper divisors (17332740).

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

7821900 is a wasteful number, since it uses less digits than its factorization.

7821900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7821900 is about 2796.7659894957. The cubic root of 7821900 is about 198.5046813058.

The spelling of 7821900 in words is "seven million, eight hundred twenty-one thousand, nine hundred".