77382843819120 has 1280 divisors, whose sum is σ = 327963283292160. Its totient is φ = 16368268492800.

The previous prime is 77382843819101. The next prime is 77382843819121. The reversal of 77382843819120 is 2191834828377.

77382843819120 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 2 + 8 + 438 + 191 + 2 + 0 = 666.

77382843819120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77382843819121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6989683185 + ... + 6989694255.

It is an arithmetic number, because the mean of its divisors is an integer number (256221315072).

Almost surely, 2^{77382843819120} is an apocalyptic number.

77382843819120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77382843819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163981641646080).

77382843819120 is an abundant number, since it is smaller than the sum of its proper divisors (250580439473040).

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

77382843819120 is a wasteful number, since it uses less digits than its factorization.

77382843819120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11571 (or 11559 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 77382843819120 in words is "seventy-seven trillion, three hundred eighty-two billion, eight hundred forty-three million, eight hundred nineteen thousand, one hundred twenty".