76871424 has 144 divisors (see below), whose sum is σ = 238085120. Its totient is φ = 21565440.

The previous prime is 76871423. The next prime is 76871429. The reversal of 76871424 is 42417867.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76871423) 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 15 ways as a sum of consecutive naturals, for example, 424614 + ... + 424794.

Almost surely, 2^76871424 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 76871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119042560).

76871424 is an abundant number, since it is smaller than the sum of its proper divisors (161213696).

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

76871424 is a wasteful number, since it uses less digits than its factorization.

76871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 76871424 is about 8767.6350289003. The cubic root of 76871424 is about 425.1951565081.

The spelling of 76871424 in words is "seventy-six million, eight hundred seventy-one thousand, four hundred twenty-four".