77627844 has 144 divisors (see below), whose sum is σ = 244142080. Its totient is φ = 20295360.

The previous prime is 77627843. The next prime is 77627873. The reversal of 77627844 is 44872677.

It is a self number, because there is not a number n which added to its sum of digits gives 77627844.

It is not an unprimeable number, because it can be changed into a prime (77627843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148167 + ... + 148689.

Almost surely, 2^77627844 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 77627844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122071040).

77627844 is an abundant number, since it is smaller than the sum of its proper divisors (166514236).

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

77627844 is a wasteful number, since it uses less digits than its factorization.

77627844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 77627844 is about 8810.6664901130. Note that the first 3 decimals coincide. The cubic root of 77627844 is about 426.5852565487.

The spelling of 77627844 in words is "seventy-seven million, six hundred twenty-seven thousand, eight hundred forty-four".