77234456131460 has 144 divisors (see below), whose sum is σ = 173001610978560. Its totient is φ = 28956441772800.

The previous prime is 77234456131451. The next prime is 77234456131541. The reversal of 77234456131460 is 6413165443277.

It is a super-3 number, since 3×77234456131460³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 996805001 + ... + 996882479.

It is an arithmetic number, because the mean of its divisors is an integer number (1201400076240).

Almost surely, 2^{77234456131460} 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 77234456131460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86500805489280).

77234456131460 is an abundant number, since it is smaller than the sum of its proper divisors (95767154847100).

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

77234456131460 is a wasteful number, since it uses less digits than its factorization.

77234456131460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78994 (or 78973 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 53.

The spelling of 77234456131460 in words is "seventy-seven trillion, two hundred thirty-four billion, four hundred fifty-six million, one hundred thirty-one thousand, four hundred sixty".