77565127000 has 64 divisors (see below), whose sum is σ = 182256085440. Its totient is φ = 30897216000.

The previous prime is 77565126949. The next prime is 77565127093. The reversal of 77565127000 is 72156577.

It is a super-2 number, since 2×77565127000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 80077 + ... + 401923.

It is an arithmetic number, because the mean of its divisors is an integer number (2847751335).

Almost surely, 2^77565127000 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 77565127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91128042720).

77565127000 is an abundant number, since it is smaller than the sum of its proper divisors (104690958440).

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

77565127000 is a wasteful number, since it uses less digits than its factorization.

77565127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322109 (or 322095 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 40.

It can be divided in two parts, 7756 and 5127000, that added together give a square (5134756 = 2266²).

The spelling of 77565127000 in words is "seventy-seven billion, five hundred sixty-five million, one hundred twenty-seven thousand".