77091408216 has 192 divisors, whose sum is σ = 218319753600. Its totient is φ = 24555009024.

The previous prime is 77091408157. The next prime is 77091408227. The reversal of 77091408216 is 61280419077.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41070670 + ... + 41072546.

It is an arithmetic number, because the mean of its divisors is an integer number (1137082050).

Almost surely, 2^77091408216 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 77091408216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109159876800).

77091408216 is an abundant number, since it is smaller than the sum of its proper divisors (141228345384).

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

77091408216 is a wasteful number, since it uses less digits than its factorization.

77091408216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 77091408216 in words is "seventy-seven billion, ninety-one million, four hundred eight thousand, two hundred sixteen".