7681408 has 32 divisors (see below), whose sum is σ = 17490960. Its totient is φ = 3291648.

The previous prime is 7681403. The next prime is 7681409. The reversal of 7681408 is 8041867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

7681408 is a modest number, since divided by 1408 gives 768 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3391 + ... + 5182.

Almost surely, 2^7681408 is an apocalyptic number.

It is an amenable number.

7681408 is an abundant number, since it is smaller than the sum of its proper divisors (9809552).

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

7681408 is an equidigital number, since it uses as much as digits as its factorization.

7681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 7681408 is about 2771.5353145865. The cubic root of 7681408 is about 197.3090222465.

It can be divided in two parts, 7 and 681408, that multiplied together give a square (4769856 = 2184²).

The spelling of 7681408 in words is "seven million, six hundred eighty-one thousand, four hundred eight".