77897844693504 has 480 divisors, whose sum is σ = 258405706690560. Its totient is φ = 22342144204800.

The previous prime is 77897844693491. The next prime is 77897844693533. The reversal of 77897844693504 is 40539644879877.

77897844693504 is a `hidden beast` number, since 7 + 7 + 8 + 9 + 7 + 8 + 44 + 69 + 3 + 504 = 666.

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, 1046822059 + ... + 1046896469.

It is an arithmetic number, because the mean of its divisors is an integer number (538345222272).

Almost surely, 2^{77897844693504} 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 77897844693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129202853345280).

77897844693504 is an abundant number, since it is smaller than the sum of its proper divisors (180507861997056).

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

77897844693504 is a wasteful number, since it uses less digits than its factorization.

77897844693504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75552 (or 75533 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 81.

The spelling of 77897844693504 in words is "seventy-seven trillion, eight hundred ninety-seven billion, eight hundred forty-four million, six hundred ninety-three thousand, five hundred four".