7780360000000 has 640 divisors, whose sum is σ = 22838416533504. Its totient is φ = 2592000000000.

The previous prime is 7780359999953. The next prime is 7780360000003. The reversal of 7780360000000 is 630877.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (7780360000003) by changing a digit.

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, 10359999625 + ... + 10360000375.

Almost surely, 2^{7780360000000} is an apocalyptic number.

7780360000000 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 7780360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419208266752).

7780360000000 is an abundant number, since it is smaller than the sum of its proper divisors (15058056533504).

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

7780360000000 is an frugal number, since it uses more digits than its factorization.

7780360000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

Adding to 7780360000000 its reverse (630877), we get a palindrome (7780360630877).

The spelling of 7780360000000 in words is "seven trillion, seven hundred eighty billion, three hundred sixty million", and thus it is an aban number.