77271444 has 36 divisors (see below), whose sum is σ = 203819616. Its totient is φ = 24637008.

The previous prime is 77271413. The next prime is 77271451. The reversal of 77271444 is 44417277.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 77271399 and 77271408.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45834 + ... + 47489.

It is an arithmetic number, because the mean of its divisors is an integer number (5661656).

Almost surely, 2^77271444 is an apocalyptic number.

It is an amenable number.

77271444 is an abundant number, since it is smaller than the sum of its proper divisors (126548172).

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

77271444 is a wasteful number, since it uses less digits than its factorization.

77271444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93356 (or 93351 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 77271444 is about 8790.4177375140. The cubic root of 77271444 is about 425.9314179088.

The spelling of 77271444 in words is "seventy-seven million, two hundred seventy-one thousand, four hundred forty-four".