77964336000 has 256 divisors, whose sum is σ = 287170228800. Its totient is φ = 20790374400.

The previous prime is 77964335989. The next prime is 77964336097. The reversal of 77964336000 is 63346977.

77964336000 is a `hidden beast` number, since 7 + 7 + 9 + 6 + 4 + 33 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341764 + ... + 522236.

Almost surely, 2^77964336000 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 77964336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143585114400).

77964336000 is an abundant number, since it is smaller than the sum of its proper divisors (209205892800).

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

77964336000 is a wasteful number, since it uses less digits than its factorization.

77964336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180511 (or 180483 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 77964336000 in words is "seventy-seven billion, nine hundred sixty-four million, three hundred thirty-six thousand".