77958753073920 has 288 divisors, whose sum is σ = 277199758080000. Its totient is φ = 20747334905856.

The previous prime is 77958753073913. The next prime is 77958753073921. The reversal of 77958753073920 is 2937035785977.

77958753073920 is a `hidden beast` number, since 7 + 7 + 9 + 5 + 87 + 530 + 7 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (77958753073921) by changing a digit.

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, 14985169 + ... + 19505711.

It is an arithmetic number, because the mean of its divisors is an integer number (962499160000).

Almost surely, 2^{77958753073920} 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 77958753073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138599879040000).

77958753073920 is an abundant number, since it is smaller than the sum of its proper divisors (199241005006080).

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

77958753073920 is a wasteful number, since it uses less digits than its factorization.

77958753073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521072 (or 4521052 counting only the distinct ones).

The product of its (nonzero) digits is 700131600, while the sum is 72.

The spelling of 77958753073920 in words is "seventy-seven trillion, nine hundred fifty-eight billion, seven hundred fifty-three million, seventy-three thousand, nine hundred twenty".