77116104 has 128 divisors (see below), whose sum is σ = 238896000. Its totient is φ = 22885632.

The previous prime is 77116073. The next prime is 77116141. The reversal of 77116104 is 40161177.

It is a super-2 number, since 2×77116104² = 11893786992277632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 80959 + ... + 81905.

It is an arithmetic number, because the mean of its divisors is an integer number (1866375).

Almost surely, 2^77116104 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 77116104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119448000).

77116104 is an abundant number, since it is smaller than the sum of its proper divisors (161779896).

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

77116104 is a wasteful number, since it uses less digits than its factorization.

77116104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 77116104 is about 8781.5775348169. The cubic root of 77116104 is about 425.6458075566.

The spelling of 77116104 in words is "seventy-seven million, one hundred sixteen thousand, one hundred four".