77136444 has 72 divisors (see below), whose sum is σ = 243105408. Its totient is φ = 20034720.

The previous prime is 77136443. The next prime is 77136487. The reversal of 77136444 is 44463177.

It is a happy number.

77136444 is a `hidden beast` number, since 7 + 7 + 1 + 3 + 644 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 77136399 and 77136408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77136443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11142 + ... + 16685.

It is an arithmetic number, because the mean of its divisors is an integer number (3376464).

Almost surely, 2^77136444 is an apocalyptic number.

It is an amenable number.

77136444 is an abundant number, since it is smaller than the sum of its proper divisors (165968964).

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

77136444 is a wasteful number, since it uses less digits than its factorization.

77136444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27855 (or 27850 counting only the distinct ones).

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

The square root of 77136444 is about 8782.7355647315. The cubic root of 77136444 is about 425.6832267821.

The spelling of 77136444 in words is "seventy-seven million, one hundred thirty-six thousand, four hundred forty-four".