77135632 has 40 divisors (see below), whose sum is σ = 171969152. Its totient is φ = 32832000.

The previous prime is 77135627. The next prime is 77135651. The reversal of 77135632 is 23653177.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14632 + ... + 19192.

Almost surely, 2^77135632 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 77135632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85984576).

77135632 is an abundant number, since it is smaller than the sum of its proper divisors (94833520).

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

77135632 is a wasteful number, since it uses less digits than its factorization.

77135632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4721 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The square root of 77135632 is about 8782.6893375549. The cubic root of 77135632 is about 425.6817330827.

The spelling of 77135632 in words is "seventy-seven million, one hundred thirty-five thousand, six hundred thirty-two".