77234309671680 has 576 divisors, whose sum is σ = 316155504430080. Its totient is φ = 17488564125696.

The previous prime is 77234309671637. The next prime is 77234309671721. The reversal of 77234309671680 is 8617690343277.

77234309671680 is a `hidden beast` number, since 7 + 7 + 23 + 430 + 96 + 7 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24393592 + ... + 27377288.

It is an arithmetic number, because the mean of its divisors is an integer number (548881084080).

Almost surely, 2^{77234309671680} is an apocalyptic number.

77234309671680 is a gapful number since it is divisible by the number (70) 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 77234309671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158077752215040).

77234309671680 is an abundant number, since it is smaller than the sum of its proper divisors (238921194758400).

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

77234309671680 is a wasteful number, since it uses less digits than its factorization.

77234309671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983841 (or 2983821 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 77234309671680 in words is "seventy-seven trillion, two hundred thirty-four billion, three hundred nine million, six hundred seventy-one thousand, six hundred eighty".