77234160 has 160 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 19548160.

The previous prime is 77234147. The next prime is 77234167. The reversal of 77234160 is 6143277.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77234167) 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, 462397 + ... + 462563.

Almost surely, 2^77234160 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 77234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

77234160 is an abundant number, since it is smaller than the sum of its proper divisors (174749712).

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

77234160 is a wasteful number, since it uses less digits than its factorization.

77234160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 77234160 is about 8788.2967633097. The cubic root of 77234160 is about 425.8629019475.

The spelling of 77234160 in words is "seventy-seven million, two hundred thirty-four thousand, one hundred sixty".