77965365054720 has 576 divisors, whose sum is σ = 305252587874304. Its totient is φ = 16688235970560.

The previous prime is 77965365054719. The next prime is 77965365054721. The reversal of 77965365054720 is 2745056356977.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77965365054719) and next prime (77965365054721).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77965365054721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9543187 + ... + 15716333.

It is an arithmetic number, because the mean of its divisors is an integer number (529952409504).

Almost surely, 2^{77965365054720} 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 77965365054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152626293937152).

77965365054720 is an abundant number, since it is smaller than the sum of its proper divisors (227287222819584).

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

77965365054720 is a wasteful number, since it uses less digits than its factorization.

77965365054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173218 (or 6173204 counting only the distinct ones).

The product of its (nonzero) digits is 333396000, while the sum is 66.

The spelling of 77965365054720 in words is "seventy-seven trillion, nine hundred sixty-five billion, three hundred sixty-five million, fifty-four thousand, seven hundred twenty".