77408339584 has 128 divisors (see below), whose sum is σ = 167096563200. Its totient is φ = 35605785600.

The previous prime is 77408339579. The next prime is 77408339621. The reversal of 77408339584 is 48593380477.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×77408339584² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11565679 + ... + 11572369.

It is an arithmetic number, because the mean of its divisors is an integer number (1305441900).

Almost surely, 2^77408339584 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 77408339584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83548281600).

77408339584 is an abundant number, since it is smaller than the sum of its proper divisors (89688223616).

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

77408339584 is a wasteful number, since it uses less digits than its factorization.

77408339584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 77408339584 in words is "seventy-seven billion, four hundred eight million, three hundred thirty-nine thousand, five hundred eighty-four".