7977516157797 has 32 divisors (see below), whose sum is σ = 11927863480320. Its totient is φ = 4712960505600.

The previous prime is 7977516157781. The next prime is 7977516157813.

7977516157797 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (7977516157781) and next prime (7977516157813).

It is not a de Polignac number, because 7977516157797 - 2⁴ = 7977516157781 is a prime.

It is a super-3 number, since 3×7977516157797³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7977516157727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25095829 + ... + 25411722.

It is an arithmetic number, because the mean of its divisors is an integer number (372745733760).

Almost surely, 2^{7977516157797} is an apocalyptic number.

It is an amenable number.

7977516157797 is a deficient number, since it is larger than the sum of its proper divisors (3950347322523).

7977516157797 is a wasteful number, since it uses less digits than its factorization.

7977516157797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50507753.

The product of its digits is 1429435350, while the sum is 78.

The spelling of 7977516157797 in words is "seven trillion, nine hundred seventy-seven billion, five hundred sixteen million, one hundred fifty-seven thousand, seven hundred ninety-seven".