77627321000 has 128 divisors (see below), whose sum is σ = 192722924160. Its totient is φ = 29165184000.

The previous prime is 77627320993. The next prime is 77627321041. The reversal of 77627321000 is 12372677.

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 31 ways as a sum of consecutive naturals, for example, 8886635 + ... + 8895365.

It is an arithmetic number, because the mean of its divisors is an integer number (1505647845).

Almost surely, 2^77627321000 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 77627321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96361462080).

77627321000 is an abundant number, since it is smaller than the sum of its proper divisors (115095603160).

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

77627321000 is a wasteful number, since it uses less digits than its factorization.

77627321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

Adding to 77627321000 its reverse (12372677), we get a palindrome (77639693677).

The spelling of 77627321000 in words is "seventy-seven billion, six hundred twenty-seven million, three hundred twenty-one thousand".