76787424 has 144 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 21381120.

The previous prime is 76787413. The next prime is 76787429. The reversal of 76787424 is 42478767.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 76787424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76787429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82192 + ... + 83120.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^76787424 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 76787424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

76787424 is an abundant number, since it is smaller than the sum of its proper divisors (179133696).

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

76787424 is a wasteful number, since it uses less digits than its factorization.

76787424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 982 counting only the distinct ones).

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

The square root of 76787424 is about 8762.8433741566. The cubic root of 76787424 is about 425.0402250278.

The spelling of 76787424 in words is "seventy-six million, seven hundred eighty-seven thousand, four hundred twenty-four".