77259386880 has 624 divisors, whose sum is σ = 303757665120. Its totient is φ = 18006147072.

The previous prime is 77259386879. The next prime is 77259386891. The reversal of 77259386880 is 8868395277.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×77259386880² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 45526192 + ... + 45527888.

It is an arithmetic number, because the mean of its divisors is an integer number (486791130).

Almost surely, 2^77259386880 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 77259386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151878832560).

77259386880 is an abundant number, since it is smaller than the sum of its proper divisors (226498278240).

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

77259386880 is a wasteful number, since it uses less digits than its factorization.

77259386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 77259386880 in words is "seventy-seven billion, two hundred fifty-nine million, three hundred eighty-six thousand, eight hundred eighty".