77691593736900 has 2304 divisors, whose sum is σ = 309668019978240. Its totient is φ = 16454016000000.

The previous prime is 77691593736899. The next prime is 77691593736931. The reversal of 77691593736900 is 963739519677.

It is a super-2 number, since 2×77691593736900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 168528402670 + ... + 168528403130.

It is an arithmetic number, because the mean of its divisors is an integer number (134404522560).

Almost surely, 2^{77691593736900} 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 77691593736900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154834009989120).

77691593736900 is an abundant number, since it is smaller than the sum of its proper divisors (231976426241340).

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

77691593736900 is a wasteful number, since it uses less digits than its factorization.

77691593736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 405076140, while the sum is 72.

The spelling of 77691593736900 in words is "seventy-seven trillion, six hundred ninety-one billion, five hundred ninety-three million, seven hundred thirty-six thousand, nine hundred".