7822080 has 216 divisors, whose sum is σ = 31248672. Its totient is φ = 1769472.

The previous prime is 7822039. The next prime is 7822109. The reversal of 7822080 is 802287.

It is a super-2 number, since 2×7822080² = 122369871052800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80592 + ... + 80688.

Almost surely, 2^7822080 is an apocalyptic number.

7822080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624336).

7822080 is an abundant number, since it is smaller than the sum of its proper divisors (23426592).

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

7822080 is a wasteful number, since it uses less digits than its factorization.

7822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7822080 is about 2796.7981693358. The cubic root of 7822080 is about 198.5062039780.

The spelling of 7822080 in words is "seven million, eight hundred twenty-two thousand, eighty".