77091683418 has 192 divisors, whose sum is σ = 188131507200. Its totient is φ = 23583208320.

The previous prime is 77091683393. The next prime is 77091683503. The reversal of 77091683418 is 81438619077.

It is a super-3 number, since 3×77091683418³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 38680230 + ... + 38682222.

It is an arithmetic number, because the mean of its divisors is an integer number (979851600).

Almost surely, 2^77091683418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77091683418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94065753600).

77091683418 is an abundant number, since it is smaller than the sum of its proper divisors (111039823782).

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

77091683418 is a wasteful number, since it uses less digits than its factorization.

77091683418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 77091683418 in words is "seventy-seven billion, ninety-one million, six hundred eighty-three thousand, four hundred eighteen".