779994499977 has 144 divisors (see below), whose sum is σ = 1455334433280. Its totient is φ = 393807744000.

The previous prime is 779994499969. The next prime is 779994500009.

779994499977 is a `hidden beast` number, since 7 + 7 + 9 + 9 + 9 + 449 + 99 + 77 = 666.

779994499977 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 779994499977 - 2³ = 779994499969 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (779994499177) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84694549 + ... + 84703757.

It is an arithmetic number, because the mean of its divisors is an integer number (10106489120).

Almost surely, 2^779994499977 is an apocalyptic number.

779994499977 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

779994499977 is a deficient number, since it is larger than the sum of its proper divisors (675339933303).

779994499977 is a wasteful number, since it uses less digits than its factorization.

779994499977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9542 counting only the distinct ones).

The product of its digits is 20415837456, while the sum is 90.

The spelling of 779994499977 in words is "seven hundred seventy-nine billion, nine hundred ninety-four million, four hundred ninety-nine thousand, nine hundred seventy-seven".