7680397725 has 336 divisors, whose sum is σ = 19217353344. Its totient is φ = 2939328000.

The previous prime is 7680397709. The next prime is 7680397727. The reversal of 7680397725 is 5277930867.

It is not a de Polignac number, because 7680397725 - 2⁴ = 7680397709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680397727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 18243015 + ... + 18243435.

It is an arithmetic number, because the mean of its divisors is an integer number (57194504).

Almost surely, 2^7680397725 is an apocalyptic number.

7680397725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7680397725 is an abundant number, since it is smaller than the sum of its proper divisors (11536955619).

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

7680397725 is a wasteful number, since it uses less digits than its factorization.

7680397725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7680397725 is about 87637.8783688880. The cubic root of 7680397725 is about 1973.0037170083.

The spelling of 7680397725 in words is "seven billion, six hundred eighty million, three hundred ninety-seven thousand, seven hundred twenty-five".