77436144 has 60 divisors (see below), whose sum is σ = 217984312. Its totient is φ = 25660800.

The previous prime is 77436113. The next prime is 77436157. The reversal of 77436144 is 44163477.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 77436099 and 77436108.

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 11 ways as a sum of consecutive naturals, for example, 24579 + ... + 27549.

Almost surely, 2^77436144 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 77436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108992156).

77436144 is an abundant number, since it is smaller than the sum of its proper divisors (140548168).

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

77436144 is a wasteful number, since it uses less digits than its factorization.

77436144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3157 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 77436144 is about 8799.7809063635. The cubic root of 77436144 is about 426.2338199297.

The spelling of 77436144 in words is "seventy-seven million, four hundred thirty-six thousand, one hundred forty-four".