77117000 has 64 divisors (see below), whose sum is σ = 183306240. Its totient is φ = 30360000.

The previous prime is 77116973. The next prime is 77117021. The reversal of 77117000 is 71177.

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 15 ways as a sum of consecutive naturals, for example, 66425 + ... + 67575.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2^77117000 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 77117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91653120).

77117000 is an abundant number, since it is smaller than the sum of its proper divisors (106189240).

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

77117000 is a wasteful number, since it uses less digits than its factorization.

77117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 23.

The square root of 77117000 is about 8781.6285505594. The cubic root of 77117000 is about 425.6474560543.

Adding to 77117000 its reverse (71177), we get a palindrome (77188177).

It can be divided in two parts, 771 and 17000, that added together give a palindrome (17771).

The spelling of 77117000 in words is "seventy-seven million, one hundred seventeen thousand".