77134160 has 40 divisors (see below), whose sum is σ = 181033056. Its totient is φ = 30561920.

The previous prime is 77134153. The next prime is 77134163. The reversal of 77134160 is 6143177.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77134163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4055 + ... + 13065.

Almost surely, 2^77134160 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 77134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90516528).

77134160 is an abundant number, since it is smaller than the sum of its proper divisors (103898896).

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

77134160 is a wasteful number, since it uses less digits than its factorization.

77134160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 77134160 is about 8782.6055359443. The cubic root of 77134160 is about 425.6790252658.

The spelling of 77134160 in words is "seventy-seven million, one hundred thirty-four thousand, one hundred sixty".