77924605440 has 640 divisors, whose sum is σ = 297829509120. Its totient is φ = 17157324800.

The previous prime is 77924605427. The next prime is 77924605441. The reversal of 77924605440 is 4450642977.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77924605440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77924605441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 41647705 + ... + 41649575.

It is an arithmetic number, because the mean of its divisors is an integer number (465358608).

Almost surely, 2^77924605440 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 77924605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148914754560).

77924605440 is an abundant number, since it is smaller than the sum of its proper divisors (219904903680).

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

77924605440 is a wasteful number, since it uses less digits than its factorization.

77924605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 77924605440 in words is "seventy-seven billion, nine hundred twenty-four million, six hundred five thousand, four hundred forty".