7826080 has 48 divisors (see below), whose sum is σ = 18955944. Its totient is φ = 3051520.

The previous prime is 7826047. The next prime is 7826099. The reversal of 7826080 is 806287.

It can be written as a sum of positive squares in 4 ways, for example, as 4276624 + 3549456 = 2068^2 + 1884^2 .

It is a super-2 number, since 2×7826080² = 122495056332800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5964 + ... + 7156.

Almost surely, 2^7826080 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 7826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9477972).

7826080 is an abundant number, since it is smaller than the sum of its proper divisors (11129864).

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

7826080 is a wasteful number, since it uses less digits than its factorization.

7826080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 7826080 is about 2797.5131813809. The cubic root of 7826080 is about 198.5400351119.

The spelling of 7826080 in words is "seven million, eight hundred twenty-six thousand, eighty".