7680407 has 12 divisors (see below), whose sum is σ = 9154656. Its totient is φ = 6420960.

The previous prime is 7680383. The next prime is 7680419. The reversal of 7680407 is 7040867.

It is not a de Polignac number, because 7680407 - 2¹⁰ = 7679383 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98 + ... + 3920.

It is an arithmetic number, because the mean of its divisors is an integer number (762888).

Almost surely, 2^7680407 is an apocalyptic number.

7680407 is a deficient number, since it is larger than the sum of its proper divisors (1474249).

7680407 is a wasteful number, since it uses less digits than its factorization.

7680407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 7680407 is about 2771.3547228747. The cubic root of 7680407 is about 197.3004511221.

The spelling of 7680407 in words is "seven million, six hundred eighty thousand, four hundred seven".