77749306392576 has 2592 divisors, whose sum is σ = 299125127810880. Its totient is φ = 17693587537920.

The previous prime is 77749306392553. The next prime is 77749306392623. The reversal of 77749306392576 is 67529360394777.

77749306392576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 77749306392498 and 77749306392507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2508042141681 + ... + 2508042141711.

It is an arithmetic number, because the mean of its divisors is an integer number (115403212890).

Almost surely, 2^{77749306392576} is an apocalyptic number.

77749306392576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77749306392576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149562563905440).

77749306392576 is an abundant number, since it is smaller than the sum of its proper divisors (221375821418304).

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

77749306392576 is a wasteful number, since it uses less digits than its factorization.

77749306392576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2520473760, while the sum is 75.

The spelling of 77749306392576 in words is "seventy-seven trillion, seven hundred forty-nine billion, three hundred six million, three hundred ninety-two thousand, five hundred seventy-six".