804977779408 has 40 divisors (see below), whose sum is σ = 1711618574400. Its totient is φ = 363707965440.

The previous prime is 804977779373. The next prime is 804977779477.

804977779408 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13664433 + ... + 13723216.

It is an arithmetic number, because the mean of its divisors is an integer number (42790464360).

Almost surely, 2^804977779408 is an apocalyptic number.

804977779408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

804977779408 is an abundant number, since it is smaller than the sum of its proper divisors (906640794992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

804977779408 is a wasteful number, since it uses less digits than its factorization.

804977779408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27387835 (or 27387829 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 70.

The spelling of 804977779408 in words is "eight hundred four billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, four hundred eight".