7691840 has 84 divisors (see below), whose sum is σ = 20194524. Its totient is φ = 2774016.

The previous prime is 7691839. The next prime is 7691851. The reversal of 7691840 is 481967.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 5798464 = 1376^2 + 2408^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7691840.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 178859 + ... + 178901.

It is an arithmetic number, because the mean of its divisors is an integer number (240411).

Almost surely, 2^7691840 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 7691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097262).

7691840 is an abundant number, since it is smaller than the sum of its proper divisors (12502684).

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

7691840 is a wasteful number, since it uses less digits than its factorization.

7691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 7691840 is about 2773.4166654147. The cubic root of 7691840 is about 197.3983026071.

The spelling of 7691840 in words is "seven million, six hundred ninety-one thousand, eight hundred forty".