77343973056 has 336 divisors, whose sum is σ = 272384885760. Its totient is φ = 20488826880.

The previous prime is 77343973033. The next prime is 77343973121. The reversal of 77343973056 is 65037934377.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 77343972993 and 77343973011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3589836 + ... + 3611316.

Almost surely, 2^77343973056 is an apocalyptic number.

77343973056 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 77343973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136192442880).

77343973056 is an abundant number, since it is smaller than the sum of its proper divisors (195040912704).

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

77343973056 is a wasteful number, since it uses less digits than its factorization.

77343973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21572 (or 21559 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 54.

The spelling of 77343973056 in words is "seventy-seven billion, three hundred forty-three million, nine hundred seventy-three thousand, fifty-six".