77617116 has 72 divisors (see below), whose sum is σ = 207916800. Its totient is φ = 25306992.

The previous prime is 77617097. The next prime is 77617123. The reversal of 77617116 is 61171677.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44835 + ... + 46533.

Almost surely, 2^77617116 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 77617116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103958400).

77617116 is an abundant number, since it is smaller than the sum of its proper divisors (130299684).

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

77617116 is a wasteful number, since it uses less digits than its factorization.

77617116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1751 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 77617116 is about 8810.0576615593. The cubic root of 77617116 is about 426.5656045904.

The spelling of 77617116 in words is "seventy-seven million, six hundred seventeen thousand, one hundred sixteen".