77321000 has 64 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 30676800.

The previous prime is 77320993. The next prime is 77321021. The reversal of 77321000 is 12377.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

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, 166769 + ... + 167231.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2^77321000 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 77321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

77321000 is an abundant number, since it is smaller than the sum of its proper divisors (105086680).

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

77321000 is a wasteful number, since it uses less digits than its factorization.

77321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 77321000 is about 8793.2360368638. The cubic root of 77321000 is about 426.0224517398.

Adding to 77321000 its reverse (12377), we get a palindrome (77333377).

The spelling of 77321000 in words is "seventy-seven million, three hundred twenty-one thousand".