77127600000 has 384 divisors, whose sum is σ = 279398367360. Its totient is φ = 18694400000.

The previous prime is 77127599981. The next prime is 77127600083. The reversal of 77127600000 is 672177.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13197079 + ... + 13202921.

It is an arithmetic number, because the mean of its divisors is an integer number (727599915).

Almost surely, 2^77127600000 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 77127600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139699183680).

77127600000 is an abundant number, since it is smaller than the sum of its proper divisors (202270767360).

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

77127600000 is an equidigital number, since it uses as much as digits as its factorization.

77127600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The spelling of 77127600000 in words is "seventy-seven billion, one hundred twenty-seven million, six hundred thousand".