7705864320 has 512 divisors, whose sum is σ = 31303065600. Its totient is φ = 1565736960.

The previous prime is 7705864301. The next prime is 7705864379. The reversal of 7705864320 is 234685077.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6947926 + ... + 6949034.

It is an arithmetic number, because the mean of its divisors is an integer number (61138800).

Almost surely, 2^7705864320 is an apocalyptic number.

7705864320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7705864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651532800).

7705864320 is an abundant number, since it is smaller than the sum of its proper divisors (23597201280).

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

7705864320 is a wasteful number, since it uses less digits than its factorization.

7705864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 7705864320 is about 87783.0525785017. The cubic root of 7705864320 is about 1975.1820006395.

The spelling of 7705864320 in words is "seven billion, seven hundred five million, eight hundred sixty-four thousand, three hundred twenty".