77286553344 has 1728 divisors, whose sum is σ = 329128869888. Its totient is φ = 16787865600.

The previous prime is 77286553339. The next prime is 77286553387. The reversal of 77286553344 is 44335568277.

It is a happy number.

77286553344 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 65 + 533 + 44 = 666.

It is a super-2 number, since 2×77286553344² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1644394729 + ... + 1644394775.

It is an arithmetic number, because the mean of its divisors is an integer number (190468096).

Almost surely, 2^77286553344 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 77286553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164564434944).

77286553344 is an abundant number, since it is smaller than the sum of its proper divisors (251842316544).

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

77286553344 is a wasteful number, since it uses less digits than its factorization.

77286553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 77286553344 in words is "seventy-seven billion, two hundred eighty-six million, five hundred fifty-three thousand, three hundred forty-four".