77274311523840 has 320 divisors, whose sum is σ = 276580130238720. Its totient is φ = 20449179279360.

The previous prime is 77274311523791. The next prime is 77274311523859. The reversal of 77274311523840 is 4832511347277.

77274311523840 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 4 + 31 + 1 + 523 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4787647 + ... + 13321793.

It is an arithmetic number, because the mean of its divisors is an integer number (864312906996).

Almost surely, 2^{77274311523840} 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 77274311523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138290065119360).

77274311523840 is an abundant number, since it is smaller than the sum of its proper divisors (199305818714880).

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

77274311523840 is a wasteful number, since it uses less digits than its factorization.

77274311523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534310 (or 8534288 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 77274311523840 in words is "seventy-seven trillion, two hundred seventy-four billion, three hundred eleven million, five hundred twenty-three thousand, eight hundred forty".