77432436 has 144 divisors (see below), whose sum is σ = 218312640. Its totient is φ = 23950080.

The previous prime is 77432423. The next prime is 77432437. The reversal of 77432436 is 63423477.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77432436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77432437) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1155675 + ... + 1155741.

It is an arithmetic number, because the mean of its divisors is an integer number (1516060).

Almost surely, 2^77432436 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 77432436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109156320).

77432436 is an abundant number, since it is smaller than the sum of its proper divisors (140880204).

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

77432436 is a wasteful number, since it uses less digits than its factorization.

77432436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 77432436 is about 8799.5702167776. The cubic root of 77432436 is about 426.2270164736.

The spelling of 77432436 in words is "seventy-seven million, four hundred thirty-two thousand, four hundred thirty-six".