77137116 has 48 divisors (see below), whose sum is σ = 207841536. Its totient is φ = 21809664.

The previous prime is 77137087. The next prime is 77137117. The reversal of 77137116 is 61173177.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77137117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 12881.

It is an arithmetic number, because the mean of its divisors is an integer number (4330032).

Almost surely, 2^77137116 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 77137116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103920768).

77137116 is an abundant number, since it is smaller than the sum of its proper divisors (130704420).

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

77137116 is a wasteful number, since it uses less digits than its factorization.

77137116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9576 counting only the distinct ones).

The product of its digits is 6174, while the sum is 33.

The square root of 77137116 is about 8782.7738215213. The cubic root of 77137116 is about 425.6844629392.

The spelling of 77137116 in words is "seventy-seven million, one hundred thirty-seven thousand, one hundred sixteen".