7790080 has 80 divisors (see below), whose sum is σ = 19887120. Its totient is φ = 2916352.

The previous prime is 7790051. The next prime is 7790087. The reversal of 7790080 is 800977.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7790087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43431 + ... + 43609.

It is an arithmetic number, because the mean of its divisors is an integer number (248589).

Almost surely, 2^7790080 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 7790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9943560).

7790080 is an abundant number, since it is smaller than the sum of its proper divisors (12097040).

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

7790080 is a wasteful number, since it uses less digits than its factorization.

7790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 7790080 is about 2791.0714788411. The cubic root of 7790080 is about 198.2351388004.

The spelling of 7790080 in words is "seven million, seven hundred ninety thousand, eighty".