7682976 has 144 divisors (see below), whose sum is σ = 25893504. Its totient is φ = 2115072.

The previous prime is 7682951. The next prime is 7682977. The reversal of 7682976 is 6792867.

It is a happy number.

7682976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7682977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74541 + ... + 74643.

It is an arithmetic number, because the mean of its divisors is an integer number (179816).

Almost surely, 2^7682976 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 7682976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12946752).

7682976 is an abundant number, since it is smaller than the sum of its proper divisors (18210528).

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

7682976 is a wasteful number, since it uses less digits than its factorization.

7682976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7682976 is about 2771.8181758550. The cubic root of 7682976 is about 197.3224468469.

The spelling of 7682976 in words is "seven million, six hundred eighty-two thousand, nine hundred seventy-six".