77227306056 has 192 divisors, whose sum is σ = 219148675200. Its totient is φ = 24545203200.

The previous prime is 77227305959. The next prime is 77227306073. The reversal of 77227306056 is 65060372277.

77227306056 is a `hidden beast` number, since 7 + 7 + 2 + 2 + 7 + 30 + 605 + 6 = 666.

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, 33855636 + ... + 33857916.

It is an arithmetic number, because the mean of its divisors is an integer number (1141399350).

Almost surely, 2^77227306056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77227306056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109574337600).

77227306056 is an abundant number, since it is smaller than the sum of its proper divisors (141921369144).

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

77227306056 is a wasteful number, since it uses less digits than its factorization.

77227306056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 77227306056 in words is "seventy-seven billion, two hundred twenty-seven million, three hundred six thousand, fifty-six".