77012928000 has 960 divisors, whose sum is σ = 302732052480. Its totient is φ = 18745344000.

The previous prime is 77012927993. The next prime is 77012928007. The reversal of 77012928000 is 82921077.

It is an interprime number because it is at equal distance from previous prime (77012927993) and next prime (77012928007).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77012928007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 339263887 + ... + 339264113.

It is an arithmetic number, because the mean of its divisors is an integer number (315345888).

Almost surely, 2^77012928000 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 77012928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151366026240).

77012928000 is an abundant number, since it is smaller than the sum of its proper divisors (225719124480).

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

77012928000 is a wasteful number, since it uses less digits than its factorization.

77012928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 77012928000 in words is "seventy-seven billion, twelve million, nine hundred twenty-eight thousand".