77345774400 has 168 divisors, whose sum is σ = 256817250144. Its totient is φ = 20376934400.

The previous prime is 77345774399. The next prime is 77345774417. The reversal of 77345774400 is 447754377.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77345774400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 301330 + ... + 495470.

It is an arithmetic number, because the mean of its divisors is an integer number (1528674108).

Almost surely, 2^77345774400 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 77345774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128408625072).

77345774400 is an abundant number, since it is smaller than the sum of its proper divisors (179471475744).

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

77345774400 is a wasteful number, since it uses less digits than its factorization.

77345774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194249 (or 194234 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 48.

The spelling of 77345774400 in words is "seventy-seven billion, three hundred forty-five million, seven hundred seventy-four thousand, four hundred".