77004144 has 120 divisors (see below), whose sum is σ = 249666560. Its totient is φ = 21700224.

The previous prime is 77004121. The next prime is 77004173. The reversal of 77004144 is 44140077.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79149 + ... + 80115.

Almost surely, 2^77004144 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 77004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124833280).

77004144 is an abundant number, since it is smaller than the sum of its proper divisors (172662416).

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

77004144 is a wasteful number, since it uses less digits than its factorization.

77004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 77004144 is about 8775.2005105297. The cubic root of 77004144 is about 425.4397183684.

The spelling of 77004144 in words is "seventy-seven million, four thousand, one hundred forty-four".