77328360 has 96 divisors (see below), whose sum is σ = 254592000. Its totient is φ = 20352384.

The previous prime is 77328313. The next prime is 77328379. The reversal of 77328360 is 6382377.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 27081 + ... + 29799.

It is an arithmetic number, because the mean of its divisors is an integer number (2652000).

Almost surely, 2^77328360 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 77328360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127296000).

77328360 is an abundant number, since it is smaller than the sum of its proper divisors (177263640).

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

77328360 is a wasteful number, since it uses less digits than its factorization.

77328360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77328360 is about 8793.6545303986. The cubic root of 77328360 is about 426.0359686617.

The spelling of 77328360 in words is "seventy-seven million, three hundred twenty-eight thousand, three hundred sixty".