77180934966720 has 1344 divisors, whose sum is σ = 281280564956160. Its totient is φ = 17885996384256.

The previous prime is 77180934966703. The next prime is 77180934966767. The reversal of 77180934966720 is 2766943908177.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101956320582 + ... + 101956321338.

It is an arithmetic number, because the mean of its divisors is an integer number (209286134640).

Almost surely, 2^{77180934966720} 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 77180934966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140640282478080).

77180934966720 is an abundant number, since it is smaller than the sum of its proper divisors (204099629989440).

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

77180934966720 is a wasteful number, since it uses less digits than its factorization.

77180934966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 69.

The spelling of 77180934966720 in words is "seventy-seven trillion, one hundred eighty billion, nine hundred thirty-four million, nine hundred sixty-six thousand, seven hundred twenty".