7906080 has 192 divisors, whose sum is σ = 30820608. Its totient is φ = 1658880.

The previous prime is 7906069. The next prime is 7906081. The reversal of 7906080 is 806097.

It is a happy number.

It is a super-2 number, since 2×7906080² = 125012201932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7906081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43590 + ... + 43770.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^7906080 is an apocalyptic number.

7906080 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 7906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

7906080 is an abundant number, since it is smaller than the sum of its proper divisors (22914528).

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

7906080 is a wasteful number, since it uses less digits than its factorization.

7906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7906080 is about 2811.7752399507. The cubic root of 7906080 is about 199.2142503636.

The spelling of 7906080 in words is "seven million, nine hundred six thousand, eighty".