77120160 has 192 divisors, whose sum is σ = 277385472. Its totient is φ = 17842176.

The previous prime is 77120159. The next prime is 77120167. The reversal of 77120160 is 6102177.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 77120160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77120167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105717 + ... + 106443.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^77120160 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 77120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

77120160 is an abundant number, since it is smaller than the sum of its proper divisors (200265312).

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

77120160 is a wasteful number, since it uses less digits than its factorization.

77120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 77120160 is about 8781.8084697857. The cubic root of 77120160 is about 425.6532698506.

The spelling of 77120160 in words is "seventy-seven million, one hundred twenty thousand, one hundred sixty".