7796080 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 2813184.

The previous prime is 7796071. The next prime is 7796101. The reversal of 7796080 is 806977.

7796080 = 478² + 479² + ... + 509².

7796080 is nontrivially palindromic in base 15.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34849 + ... + 35071.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^7796080 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 7796080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

7796080 is an abundant number, since it is smaller than the sum of its proper divisors (12202640).

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

7796080 is a wasteful number, since it uses less digits than its factorization.

7796080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 7796080 is about 2792.1461279811. The cubic root of 7796080 is about 198.2860199893.

It can be divided in two parts, 779 and 6080, that added together give a cube (6859 = 19³).

The spelling of 7796080 in words is "seven million, seven hundred ninety-six thousand, eighty".