77017231440 has 240 divisors, whose sum is σ = 270252702720. Its totient is φ = 19618959360.

The previous prime is 77017231427. The next prime is 77017231471. The reversal of 77017231440 is 4413271077.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77017231395 and 77017231404.

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 47 ways as a sum of consecutive naturals, for example, 14586721 + ... + 14591999.

It is an arithmetic number, because the mean of its divisors is an integer number (1126052928).

Almost surely, 2^77017231440 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 77017231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135126351360).

77017231440 is an abundant number, since it is smaller than the sum of its proper divisors (193235471280).

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

77017231440 is a wasteful number, since it uses less digits than its factorization.

77017231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 77017231440 in words is "seventy-seven billion, seventeen million, two hundred thirty-one thousand, four hundred forty".