7997677678120 has 512 divisors, whose sum is σ = 21563154063360. Its totient is φ = 2644088832000.

The previous prime is 7997677678099. The next prime is 7997677678163. The reversal of 7997677678120 is 218767767997.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2482978110 + ... + 2482981330.

It is an arithmetic number, because the mean of its divisors is an integer number (42115535280).

Almost surely, 2^{7997677678120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7997677678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781577031680).

7997677678120 is an abundant number, since it is smaller than the sum of its proper divisors (13565476385240).

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

7997677678120 is a wasteful number, since it uses less digits than its factorization.

7997677678120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 784147392, while the sum is 76.

The spelling of 7997677678120 in words is "seven trillion, nine hundred ninety-seven billion, six hundred seventy-seven million, six hundred seventy-eight thousand, one hundred twenty".