7827322000 has 80 divisors (see below), whose sum is σ = 18948898800. Its totient is φ = 3127219200.

The previous prime is 7827321979. The next prime is 7827322031. The reversal of 7827322000 is 2237287.

It can be written as a sum of positive squares in 8 ways, for example, as 6646162576 + 1181159424 = 81524^2 + 34368^2 .

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

It is a super-2 number, since 2×7827322000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2216236 + ... + 2219764.

It is an arithmetic number, because the mean of its divisors is an integer number (236861235).

Almost surely, 2^7827322000 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 7827322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474449400).

7827322000 is an abundant number, since it is smaller than the sum of its proper divisors (11121576800).

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

7827322000 is a wasteful number, since it uses less digits than its factorization.

7827322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 7827322000 is about 88472.1538112416. The cubic root of 7827322000 is about 1985.5053733353.

Adding to 7827322000 its reverse (2237287), we get a palindrome (7829559287).

The spelling of 7827322000 in words is "seven billion, eight hundred twenty-seven million, three hundred twenty-two thousand".