77974719856 has 160 divisors (see below), whose sum is σ = 176910105600. Its totient is φ = 32918400000.

The previous prime is 77974719763. The next prime is 77974719869. The reversal of 77974719856 is 65891747977.

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 31 ways as a sum of consecutive naturals, for example, 103827481 + ... + 103828231.

It is an arithmetic number, because the mean of its divisors is an integer number (1105688160).

Almost surely, 2^77974719856 is an apocalyptic number.

77974719856 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 77974719856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88455052800).

77974719856 is an abundant number, since it is smaller than the sum of its proper divisors (98935385744).

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

77974719856 is a wasteful number, since it uses less digits than its factorization.

77974719856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its digits is 186701760, while the sum is 70.

The spelling of 77974719856 in words is "seventy-seven billion, nine hundred seventy-four million, seven hundred nineteen thousand, eight hundred fifty-six".