77609919744 has 288 divisors, whose sum is σ = 262879984640. Its totient is φ = 22124648448.

The previous prime is 77609919727. The next prime is 77609919773. The reversal of 77609919744 is 44791990677.

77609919744 is a `hidden beast` number, since 7 + 7 + 609 + 9 + 19 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25303299 + ... + 25306365.

Almost surely, 2^77609919744 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 77609919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131439992320).

77609919744 is an abundant number, since it is smaller than the sum of its proper divisors (185270064896).

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

77609919744 is a wasteful number, since it uses less digits than its factorization.

77609919744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 77609919744 in words is "seventy-seven billion, six hundred nine million, nine hundred nineteen thousand, seven hundred forty-four".