76104144 has 80 divisors (see below), whose sum is σ = 220521600. Its totient is φ = 25127424.

The previous prime is 76104137. The next prime is 76104157. The reversal of 76104144 is 44140167.

76104144 is a `hidden beast` number, since 7 + 610 + 4 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48037 + ... + 49595.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 2^76104144 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 76104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

76104144 is an abundant number, since it is smaller than the sum of its proper divisors (144417456).

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

76104144 is a wasteful number, since it uses less digits than its factorization.

76104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76104144 is about 8723.7689102818. The cubic root of 76104144 is about 423.7757506475.

The spelling of 76104144 in words is "seventy-six million, one hundred four thousand, one hundred forty-four".