77238144 has 64 divisors (see below), whose sum is σ = 227970000. Its totient is φ = 25744896.

The previous prime is 77238127. The next prime is 77238149. The reversal of 77238144 is 44183277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 77238099 and 77238108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77238149) by changing a digit.

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, 7719 + ... + 14630.

Almost surely, 2^77238144 is an apocalyptic number.

It is an amenable number.

77238144 is an abundant number, since it is smaller than the sum of its proper divisors (150731856).

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

77238144 is a wasteful number, since it uses less digits than its factorization.

77238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22372 (or 22354 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 77238144 is about 8788.5234254680. The cubic root of 77238144 is about 425.8702243060.

The spelling of 77238144 in words is "seventy-seven million, two hundred thirty-eight thousand, one hundred forty-four".