77724277056 has 196 divisors, whose sum is σ = 243418969600. Its totient is φ = 24544228608.

The previous prime is 77724277031. The next prime is 77724277121. The reversal of 77724277056 is 65077242777.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77724276993 and 77724277011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 842625 + ... + 930303.

Almost surely, 2^77724277056 is an apocalyptic number.

77724277056 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 77724277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121709484800).

77724277056 is an abundant number, since it is smaller than the sum of its proper divisors (165694692544).

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

77724277056 is an equidigital number, since it uses as much as digits as its factorization.

77724277056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87728 (or 87703 counting only the distinct ones).

The product of its (nonzero) digits is 8067360, while the sum is 54.

The spelling of 77724277056 in words is "seventy-seven billion, seven hundred twenty-four million, two hundred seventy-seven thousand, fifty-six".