77934182400 has 810 divisors, whose sum is σ = 299887843710. Its totient is φ = 20065812480.

The previous prime is 77934182377. The next prime is 77934182401. The reversal of 77934182400 is 428143977.

It can be written as a sum of positive squares in 3 ways, for example, as 5267275776 + 72666906624 = 72576^2 + 269568^2 .

It is a tau number, because it is divible by the number of its divisors (810).

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 (77934182401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2687385586 + ... + 2687385614.

Almost surely, 2^77934182400 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 77934182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149943921855).

77934182400 is an abundant number, since it is smaller than the sum of its proper divisors (221953661310).

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

77934182400 is an frugal number, since it uses more digits than its factorization.

77934182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 77934182400 in words is "seventy-seven billion, nine hundred thirty-four million, one hundred eighty-two thousand, four hundred".