77115686400 has 720 divisors, whose sum is σ = 292974842160. Its totient is φ = 19336396800.

The previous prime is 77115686393. The next prime is 77115686407. The reversal of 77115686400 is 468651177.

77115686400 is a `hidden beast` number, since 77 + 11 + 568 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77115686393) and next prime (77115686407).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77115686407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 136972519 + ... + 136973081.

It is an arithmetic number, because the mean of its divisors is an integer number (406909503).

Almost surely, 2^77115686400 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 77115686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146487421080).

77115686400 is an abundant number, since it is smaller than the sum of its proper divisors (215859155760).

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

77115686400 is a wasteful number, since it uses less digits than its factorization.

77115686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 77115686400 in words is "seventy-seven billion, one hundred fifteen million, six hundred eighty-six thousand, four hundred".