77105743536 has 80 divisors (see below), whose sum is σ = 208013186304. Its totient is φ = 24565170432.

The previous prime is 77105743511. The next prime is 77105743543. The reversal of 77105743536 is 63534750177.

It is a super-3 number, since 3×77105743536³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416210 + ... + 1469646.

Almost surely, 2^77105743536 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 77105743536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104006593152).

77105743536 is an abundant number, since it is smaller than the sum of its proper divisors (130907442768).

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

77105743536 is a wasteful number, since it uses less digits than its factorization.

77105743536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54778 (or 54772 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 48.

The spelling of 77105743536 in words is "seventy-seven billion, one hundred five million, seven hundred forty-three thousand, five hundred thirty-six".