77304450816 has 216 divisors, whose sum is σ = 231670958064. Its totient is φ = 25709322240.

The previous prime is 77304450763. The next prime is 77304450889. The reversal of 77304450816 is 61805440377.

77304450816 is a `hidden beast` number, since 77 + 30 + 44 + 508 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 33653380 + ... + 33655676.

Almost surely, 2^77304450816 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 77304450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115835479032).

77304450816 is an abundant number, since it is smaller than the sum of its proper divisors (154366507248).

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

77304450816 is an equidigital number, since it uses as much as digits as its factorization.

77304450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77304450816 in words is "seventy-seven billion, three hundred four million, four hundred fifty thousand, eight hundred sixteen".