7765804607680 has 448 divisors, whose sum is σ = 22132686240000. Its totient is φ = 2592766525440.

The previous prime is 7765804607669. The next prime is 7765804607689. The reversal of 7765804607680 is 867064085677.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (7765804607689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3046607046 + ... + 3046609594.

It is an arithmetic number, because the mean of its divisors is an integer number (49403317500).

Almost surely, 2^{7765804607680} is an apocalyptic number.

7765804607680 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 7765804607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066343120000).

7765804607680 is an abundant number, since it is smaller than the sum of its proper divisors (14366881632320).

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

7765804607680 is a wasteful number, since it uses less digits than its factorization.

7765804607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 64.

The spelling of 7765804607680 in words is "seven trillion, seven hundred sixty-five billion, eight hundred four million, six hundred seven thousand, six hundred eighty".