77949815596800 has 1728 divisors, whose sum is σ = 323059072896000. Its totient is φ = 16483418112000.

The previous prime is 77949815596799. The next prime is 77949815596813. The reversal of 77949815596800 is 869551894977.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6605350900 + ... + 6605362700.

It is an arithmetic number, because the mean of its divisors is an integer number (186955482000).

Almost surely, 2^{77949815596800} is an apocalyptic number.

77949815596800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77949815596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161529536448000).

77949815596800 is an abundant number, since it is smaller than the sum of its proper divisors (245109257299200).

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

77949815596800 is a wasteful number, since it uses less digits than its factorization.

77949815596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11927 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 78.

The spelling of 77949815596800 in words is "seventy-seven trillion, nine hundred forty-nine billion, eight hundred fifteen million, five hundred ninety-six thousand, eight hundred".