77689241280 has 252 divisors, whose sum is σ = 310846713840. Its totient is φ = 17757508608.

The previous prime is 77689241269. The next prime is 77689241281. The reversal of 77689241280 is 8214298677.

It is a happy number.

77689241280 is a `hidden beast` number, since 7 + 7 + 68 + 92 + 412 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (77689241281) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 134140 + ... + 416379.

Almost surely, 2^77689241280 is an apocalyptic number.

77689241280 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 77689241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155423356920).

77689241280 is an abundant number, since it is smaller than the sum of its proper divisors (233157472560).

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

77689241280 is a wasteful number, since it uses less digits than its factorization.

77689241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550556 (or 550536 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 77689241280 in words is "seventy-seven billion, six hundred eighty-nine million, two hundred forty-one thousand, two hundred eighty".