7797922338816 has 1152 divisors, whose sum is σ = 25314198174720. Its totient is φ = 2302201036800.

The previous prime is 7797922338763. The next prime is 7797922338821. The reversal of 7797922338816 is 6188332297977.

7797922338816 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 9 + 223 + 388 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

Its product of digits (384072192) is a multiple of the sum of its prime factors (343).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75707983821 + ... + 75707983923.

It is an arithmetic number, because the mean of its divisors is an integer number (21974130360).

Almost surely, 2^{7797922338816} 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 7797922338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657099087360).

7797922338816 is an abundant number, since it is smaller than the sum of its proper divisors (17516275835904).

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

7797922338816 is a wasteful number, since it uses less digits than its factorization.

7797922338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 320 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 7797922338816 in words is "seven trillion, seven hundred ninety-seven billion, nine hundred twenty-two million, three hundred thirty-eight thousand, eight hundred sixteen".