7826120 has 48 divisors (see below), whose sum is σ = 18733140. Its totient is φ = 2941952.

The previous prime is 7826107. The next prime is 7826123. The reversal of 7826120 is 216287.

It can be written as a sum of positive squares in 6 ways, for example, as 7496644 + 329476 = 2738^2 + 574^2 .

It is a super-2 number, since 2×7826120² = 122496308508800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7826120.

It is not an unprimeable number, because it can be changed into a prime (7826123) 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 11 ways as a sum of consecutive naturals, for example, 11222 + ... + 11898.

Almost surely, 2^7826120 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 7826120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9366570).

7826120 is an abundant number, since it is smaller than the sum of its proper divisors (10907020).

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

7826120 is a wasteful number, since it uses less digits than its factorization.

7826120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 7826120 is about 2797.5203305785. The cubic root of 7826120 is about 198.5403733650.

The spelling of 7826120 in words is "seven million, eight hundred twenty-six thousand, one hundred twenty".