77353204896 has 288 divisors, whose sum is σ = 246004117632. Its totient is φ = 22856570880.

The previous prime is 77353204879. The next prime is 77353204927. The reversal of 77353204896 is 69840235377.

77353204896 is a `hidden beast` number, since 7 + 7 + 353 + 204 + 89 + 6 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29046061 + ... + 29048723.

It is an arithmetic number, because the mean of its divisors is an integer number (854180964).

Almost surely, 2^77353204896 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 77353204896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123002058816).

77353204896 is an abundant number, since it is smaller than the sum of its proper divisors (168650912736).

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

77353204896 is a wasteful number, since it uses less digits than its factorization.

77353204896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 77353204896 in words is "seventy-seven billion, three hundred fifty-three million, two hundred four thousand, eight hundred ninety-six".