7680736 has 48 divisors (see below), whose sum is σ = 18307296. Its totient is φ = 3096576.

The previous prime is 7680733. The next prime is 7680763. The reversal of 7680736 is 6370867.

It is a junction number, because it is equal to n+sod(n) for n = 7680695 and 7680704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680733) 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 7 ways as a sum of consecutive naturals, for example, 2800 + ... + 4816.

It is an arithmetic number, because the mean of its divisors is an integer number (381402).

Almost surely, 2^7680736 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 7680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153648).

7680736 is an abundant number, since it is smaller than the sum of its proper divisors (10626560).

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

7680736 is a wasteful number, since it uses less digits than its factorization.

7680736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 7680736 is about 2771.4140794908. The cubic root of 7680736 is about 197.3032682871.

The spelling of 7680736 in words is "seven million, six hundred eighty thousand, seven hundred thirty-six".