7785388380672 has 240 divisors, whose sum is σ = 25687105741440. Its totient is φ = 2223697821696.

The previous prime is 7785388380661. The next prime is 7785388380673. The reversal of 7785388380672 is 2760838835877.

7785388380672 is a `hidden beast` number, since 7 + 7 + 8 + 538 + 8 + 3 + 80 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×7785388380672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7785388380672.

It is not an unprimeable number, because it can be changed into a prime (7785388380673) 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 23 ways as a sum of consecutive naturals, for example, 107343973 + ... + 107416475.

It is an arithmetic number, because the mean of its divisors is an integer number (107029607256).

Almost surely, 2^{7785388380672} is an apocalyptic number.

7785388380672 is a gapful number since it is divisible by the number (72) 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 7785388380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843552870720).

7785388380672 is an abundant number, since it is smaller than the sum of its proper divisors (17901717360768).

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

7785388380672 is a wasteful number, since it uses less digits than its factorization.

7785388380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75863 (or 75844 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 7785388380672 in words is "seven trillion, seven hundred eighty-five billion, three hundred eighty-eight million, three hundred eighty thousand, six hundred seventy-two".