7680816 has 120 divisors (see below), whose sum is σ = 25321296. Its totient is φ = 2142720.

The previous prime is 7680811. The next prime is 7680847. The reversal of 7680816 is 6180867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7680811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20406 + ... + 20778.

Almost surely, 2^7680816 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 7680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660648).

7680816 is an abundant number, since it is smaller than the sum of its proper divisors (17640480).

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

7680816 is a wasteful number, since it uses less digits than its factorization.

7680816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7680816 is about 2771.4285125184. The cubic root of 7680816 is about 197.3039532999.

The spelling of 7680816 in words is "seven million, six hundred eighty thousand, eight hundred sixteen".