77964000 has 192 divisors, whose sum is σ = 261817920. Its totient is φ = 20275200.

The previous prime is 77963999. The next prime is 77964037. The reversal of 77964000 is 46977.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875956 + ... + 876044.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 2^77964000 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 77964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130908960).

77964000 is an abundant number, since it is smaller than the sum of its proper divisors (183853920).

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

77964000 is a wasteful number, since it uses less digits than its factorization.

77964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 77964000 is about 8829.7225324469. The cubic root of 77964000 is about 427.2001248439.

The spelling of 77964000 in words is "seventy-seven million, nine hundred sixty-four thousand".