77328000 has 256 divisors, whose sum is σ = 286416000. Its totient is φ = 20505600.

The previous prime is 77327977. The next prime is 77328037. The reversal of 77328000 is 82377.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 431911 + ... + 432089.

Almost surely, 2^77328000 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 77328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

77328000 is an abundant number, since it is smaller than the sum of its proper divisors (209088000).

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

77328000 is a wasteful number, since it uses less digits than its factorization.

77328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77328000 is about 8793.6340610694. The cubic root of 77328000 is about 426.0353075279.

The spelling of 77328000 in words is "seventy-seven million, three hundred twenty-eight thousand".