77439601811760 has 80 divisors (see below), whose sum is σ = 240063694341984. Its totient is φ = 20650480592896.

The previous prime is 77439601811729. The next prime is 77439601811783. The reversal of 77439601811760 is 6711810693477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×77439601811760⁵ (a number of 71 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77439601811694 and 77439601811703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87281734 + ... + 88164506.

Almost surely, 2^{77439601811760} is an apocalyptic number.

It is an amenable number.

77439601811760 is an abundant number, since it is smaller than the sum of its proper divisors (162624092530224).

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

77439601811760 is a wasteful number, since it uses less digits than its factorization.

77439601811760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248302 (or 1248296 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 77439601811760 in words is "seventy-seven trillion, four hundred thirty-nine billion, six hundred one million, eight hundred eleven thousand, seven hundred sixty".