77505632 has 48 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 36599808.

The previous prime is 77505577. The next prime is 77505641. The reversal of 77505632 is 23650577.

It is a junction number, because it is equal to n+sod(n) for n = 77505592 and 77505601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42728 + ... + 44504.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2^77505632 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 77505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

77505632 is an abundant number, since it is smaller than the sum of its proper divisors (83794528).

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

77505632 is a wasteful number, since it uses less digits than its factorization.

77505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 77505632 is about 8803.7283011233. The cubic root of 77505632 is about 426.3612766926.

The spelling of 77505632 in words is "seventy-seven million, five hundred five thousand, six hundred thirty-two".