77803684896 has 288 divisors, whose sum is σ = 250678229760. Its totient is φ = 21009590784.

The previous prime is 77803684879. The next prime is 77803684957. The reversal of 77803684896 is 69848630877.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52462971 + ... + 52464453.

It is an arithmetic number, because the mean of its divisors is an integer number (870410520).

Almost surely, 2^77803684896 is an apocalyptic number.

77803684896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77803684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125339114880).

77803684896 is an abundant number, since it is smaller than the sum of its proper divisors (172874544864).

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

77803684896 is a wasteful number, since it uses less digits than its factorization.

77803684896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 77803684896 in words is "seventy-seven billion, eight hundred three million, six hundred eighty-four thousand, eight hundred ninety-six".