7972772797 has 16 divisors (see below), whose sum is σ = 8747324352. Its totient is φ = 7206606720.

The previous prime is 7972772767. The next prime is 7972772833.

It is a happy number.

7972772797 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7972772797 - 2²⁷ = 7838555069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972772707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245978 + ... + 2249524.

It is an arithmetic number, because the mean of its divisors is an integer number (546707772).

Almost surely, 2^7972772797 is an apocalyptic number.

It is an amenable number.

7972772797 is a deficient number, since it is larger than the sum of its proper divisors (774551555).

7972772797 is a wasteful number, since it uses less digits than its factorization.

7972772797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668.

The product of its digits is 38118276, while the sum is 64.

The square root of 7972772797 is about 89290.3846839065. The cubic root of 7972772797 is about 1997.7284875089.

The spelling of 7972772797 in words is "seven billion, nine hundred seventy-two million, seven hundred seventy-two thousand, seven hundred ninety-seven".