77068160 has 128 divisors (see below), whose sum is σ = 203061600. Its totient is φ = 27795456.

The previous prime is 77068127. The next prime is 77068163. The reversal of 77068160 is 6186077.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 77068160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77068163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490802 + ... + 490958.

Almost surely, 2^77068160 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 77068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101530800).

77068160 is an abundant number, since it is smaller than the sum of its proper divisors (125993440).

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

77068160 is a wasteful number, since it uses less digits than its factorization.

77068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 77068160 is about 8778.8473047434. The cubic root of 77068160 is about 425.5575795812.

The spelling of 77068160 in words is "seventy-seven million, sixty-eight thousand, one hundred sixty".