8077644 has 60 divisors (see below), whose sum is σ = 21405384. Its totient is φ = 2655936.

The previous prime is 8077633. The next prime is 8077649. The reversal of 8077644 is 4467708.

It is a happy number.

8077644 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 644 = 666.

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 = 8077599 and 8077608.

It is not an unprimeable number, because it can be changed into a prime (8077649) 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 19 ways as a sum of consecutive naturals, for example, 34552 + ... + 34784.

Almost surely, 2^8077644 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 8077644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692).

8077644 is an abundant number, since it is smaller than the sum of its proper divisors (13327740).

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

8077644 is a wasteful number, since it uses less digits than its factorization.

8077644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

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

The square root of 8077644 is about 2842.1196315426. The cubic root of 8077644 is about 200.6449512869.

The spelling of 8077644 in words is "eight million, seventy-seven thousand, six hundred forty-four".