7690880 has 64 divisors (see below), whose sum is σ = 18782280. Its totient is φ = 3010560.

The previous prime is 7690873. The next prime is 7690897. The reversal of 7690880 is 880967.

It can be written as a sum of positive squares in 4 ways, for example, as 6270016 + 1420864 = 2504^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 38942 + ... + 39138.

Almost surely, 2^7690880 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 7690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391140).

7690880 is an abundant number, since it is smaller than the sum of its proper divisors (11091400).

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

7690880 is a wasteful number, since it uses less digits than its factorization.

7690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 7690880 is about 2773.2435882915. The cubic root of 7690880 is about 197.3900899967.

The spelling of 7690880 in words is "seven million, six hundred ninety thousand, eight hundred eighty".