77436632 has 64 divisors (see below), whose sum is σ = 189241920. Its totient is φ = 28827648.

The previous prime is 77436631. The next prime is 77436637. The reversal of 77436632 is 23663477.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77436631) 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, 9248 + ... + 15504.

It is an arithmetic number, because the mean of its divisors is an integer number (2956905).

Almost surely, 2^77436632 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 77436632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94620960).

77436632 is an abundant number, since it is smaller than the sum of its proper divisors (111805288).

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

77436632 is a wasteful number, since it uses less digits than its factorization.

77436632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6296 counting only the distinct ones).

The product of its digits is 127008, while the sum is 38.

The square root of 77436632 is about 8799.8086342829. The cubic root of 77436632 is about 426.2347152983.

The spelling of 77436632 in words is "seventy-seven million, four hundred thirty-six thousand, six hundred thirty-two".