77131388160 has 864 divisors, whose sum is σ = 303737091840. Its totient is φ = 18653773824.

The previous prime is 77131388119. The next prime is 77131388239. The reversal of 77131388160 is 6188313177.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×77131388160³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153342469 + ... + 153342971.

It is an arithmetic number, because the mean of its divisors is an integer number (351547560).

Almost surely, 2^77131388160 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 77131388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151868545920).

77131388160 is an abundant number, since it is smaller than the sum of its proper divisors (226605703680).

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

77131388160 is a wasteful number, since it uses less digits than its factorization.

77131388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 77131388160 in words is "seventy-seven billion, one hundred thirty-one million, three hundred eighty-eight thousand, one hundred sixty".