7796380999680 has 4480 divisors, whose sum is σ = 38365473484800. Its totient is φ = 1498247331840.

The previous prime is 7796380999651. The next prime is 7796380999723. The reversal of 7796380999680 is 869990836977.

7796380999680 is a `hidden beast` number, since 7 + 7 + 96 + 380 + 9 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 7796380999680.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 251496161265 + ... + 251496161295.

It is an arithmetic number, because the mean of its divisors is an integer number (8563721760).

Almost surely, 2^{7796380999680} is an apocalyptic number.

7796380999680 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 7796380999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19182736742400).

7796380999680 is an abundant number, since it is smaller than the sum of its proper divisors (30569092485120).

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

7796380999680 is a wasteful number, since it uses less digits than its factorization.

7796380999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 7796380999680 in words is "seven trillion, seven hundred ninety-six billion, three hundred eighty million, nine hundred ninety-nine thousand, six hundred eighty".