77328576 has 168 divisors, whose sum is σ = 249631200. Its totient is φ = 22708224.

The previous prime is 77328571. The next prime is 77328593. The reversal of 77328576 is 67582377.

77328576 is a `hidden beast` number, since 7 + 73 + 2 + 8 + 576 = 666.

Its product of digits (493920) is a multiple of the sum of its prime divisors (490).

It is not an unprimeable number, because it can be changed into a prime (77328571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172000 + ... + 172448.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2^77328576 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 77328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124815600).

77328576 is an abundant number, since it is smaller than the sum of its proper divisors (172302624).

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

77328576 is a wasteful number, since it uses less digits than its factorization.

77328576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 77328576 is about 8793.6668119733. Note that the first 3 decimals coincide. The cubic root of 77328576 is about 426.0363653410.

It can be divided in two parts, 77 and 328576, that multiplied together give a palindrome (25300352).

The spelling of 77328576 in words is "seventy-seven million, three hundred twenty-eight thousand, five hundred seventy-six".