7826320 has 20 divisors (see below), whose sum is σ = 18196380. Its totient is φ = 3130496.

The previous prime is 7826303. The next prime is 7826327. The reversal of 7826320 is 236287.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 3810304 = 2004^2 + 1952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×7826320² = 122502569484800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7826327) 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 3 ways as a sum of consecutive naturals, for example, 48835 + ... + 48994.

It is an arithmetic number, because the mean of its divisors is an integer number (909819).

Almost surely, 2^7826320 is an apocalyptic number.

It is an amenable number.

7826320 is an abundant number, since it is smaller than the sum of its proper divisors (10370060).

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

7826320 is a wasteful number, since it uses less digits than its factorization.

7826320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97842 (or 97836 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7826320 is about 2797.5560762923. The cubic root of 7826320 is about 198.5420646133.

The spelling of 7826320 in words is "seven million, eight hundred twenty-six thousand, three hundred twenty".