77135232 has 128 divisors (see below), whose sum is σ = 216280800. Its totient is φ = 24330240.

The previous prime is 77135221. The next prime is 77135237. The reversal of 77135232 is 23253177.

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 77135232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77135237) 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, 866644 + ... + 866732.

Almost surely, 2^77135232 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 77135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

77135232 is an abundant number, since it is smaller than the sum of its proper divisors (139145568).

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

77135232 is a wasteful number, since it uses less digits than its factorization.

77135232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 77135232 is about 8782.6665654572. Note that the first 3 decimals coincide. The cubic root of 77135232 is about 425.6809972663.

The spelling of 77135232 in words is "seventy-seven million, one hundred thirty-five thousand, two hundred thirty-two".