77731066342272 has 256 divisors, whose sum is σ = 236363921740800. Its totient is φ = 22171756658688.

The previous prime is 77731066342243. The next prime is 77731066342273. The reversal of 77731066342272 is 27224366013777.

It is a super-2 number, since 2×77731066342272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77731066342273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10379361504 + ... + 10379368992.

It is an arithmetic number, because the mean of its divisors is an integer number (923296569300).

Almost surely, 2^{77731066342272} 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 77731066342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118181960870400).

77731066342272 is an abundant number, since it is smaller than the sum of its proper divisors (158632855398528).

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

77731066342272 is a wasteful number, since it uses less digits than its factorization.

77731066342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13453 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 57.

The spelling of 77731066342272 in words is "seventy-seven trillion, seven hundred thirty-one billion, sixty-six million, three hundred forty-two thousand, two hundred seventy-two".