7795440445977 has 48 divisors (see below), whose sum is σ = 11597673943440. Its totient is φ = 5041965367296.

The previous prime is 7795440445963. The next prime is 7795440445979.

7795440445977 is a `hidden beast` number, since 7 + 7 + 9 + 54 + 40 + 445 + 97 + 7 = 666.

7795440445977 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1948469807376 + 5846970638601 = 1395876^2 + 2418051^2 .

It is not a de Polignac number, because 7795440445977 - 2¹¹ = 7795440443929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7795440445979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440088273 + ... + 440105985.

It is an arithmetic number, because the mean of its divisors is an integer number (241618207155).

Almost surely, 2^{7795440445977} is an apocalyptic number.

It is an amenable number.

7795440445977 is a deficient number, since it is larger than the sum of its proper divisors (3802233497463).

7795440445977 is a wasteful number, since it uses less digits than its factorization.

7795440445977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21482 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 1244678400, while the sum is 72.

The spelling of 7795440445977 in words is "seven trillion, seven hundred ninety-five billion, four hundred forty million, four hundred forty-five thousand, nine hundred seventy-seven".