7697280960 has 280 divisors, whose sum is σ = 28052274096. Its totient is φ = 2002268160.

The previous prime is 7697280953. The next prime is 7697280989. The reversal of 7697280960 is 690827967.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7697280897 and 7697280906.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1059099 + ... + 1066341.

Almost surely, 2^7697280960 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 7697280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026137048).

7697280960 is an abundant number, since it is smaller than the sum of its proper divisors (20354993136).

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

7697280960 is a wasteful number, since it uses less digits than its factorization.

7697280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7697280960 is about 87734.1493376439. The cubic root of 7697280960 is about 1974.4483603827.

The spelling of 7697280960 in words is "seven billion, six hundred ninety-seven million, two hundred eighty thousand, nine hundred sixty".