77421312864 has 768 divisors, whose sum is σ = 277629327360. Its totient is φ = 20530298880.

The previous prime is 77421312863. The next prime is 77421312883. The reversal of 77421312864 is 46821312477.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77421312863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 565119004 + ... + 565119140.

It is an arithmetic number, because the mean of its divisors is an integer number (361496520).

Almost surely, 2^77421312864 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 77421312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138814663680).

77421312864 is an abundant number, since it is smaller than the sum of its proper divisors (200208014496).

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

77421312864 is a wasteful number, since it uses less digits than its factorization.

77421312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 77421312864 in words is "seventy-seven billion, four hundred twenty-one million, three hundred twelve thousand, eight hundred sixty-four".