77958988407 has 80 divisors (see below), whose sum is σ = 126124669440. Its totient is φ = 47831824512.

The previous prime is 77958988379. The next prime is 77958988417. The reversal of 77958988407 is 70488985977.

It is not a de Polignac number, because 77958988407 - 2⁶ = 77958988343 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77958988417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9905688 + ... + 9913554.

It is an arithmetic number, because the mean of its divisors is an integer number (1576558368).

Almost surely, 2^77958988407 is an apocalyptic number.

77958988407 is a deficient number, since it is larger than the sum of its proper divisors (48165681033).

77958988407 is a wasteful number, since it uses less digits than its factorization.

77958988407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 77958988407 in words is "seventy-seven billion, nine hundred fifty-eight million, nine hundred eighty-eight thousand, four hundred seven".