77977977 has 32 divisors (see below), whose sum is σ = 131297280. Its totient is φ = 39985920.

The previous prime is 77977969. The next prime is 77977979.

77977977 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77977977 - 2³ = 77977969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77977977.

It is not an unprimeable number, because it can be changed into a prime (77977979) 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, 16113 + ... + 20385.

It is an arithmetic number, because the mean of its divisors is an integer number (4103040).

Almost surely, 2^77977977 is an apocalyptic number.

77977977 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77977977 is a deficient number, since it is larger than the sum of its proper divisors (53319303).

77977977 is a wasteful number, since it uses less digits than its factorization.

77977977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373.

The product of its digits is 9529569, while the sum is 60.

The square root of 77977977 is about 8830.5139714515. The cubic root of 77977977 is about 427.2256520931.

The spelling of 77977977 in words is "seventy-seven million, nine hundred seventy-seven thousand, nine hundred seventy-seven".