76256424 has 128 divisors (see below), whose sum is σ = 236304000. Its totient is φ = 22643712.

The previous prime is 76256417. The next prime is 76256429. The reversal of 76256424 is 42465267.

76256424 is a `hidden beast` number, since 7 + 6 + 2 + 5 + 642 + 4 = 666.

It is a super-3 number, since 3×76256424³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76256429) 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 31 ways as a sum of consecutive naturals, for example, 69222 + ... + 70314.

It is an arithmetic number, because the mean of its divisors is an integer number (1846125).

Almost surely, 2^76256424 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 76256424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118152000).

76256424 is an abundant number, since it is smaller than the sum of its proper divisors (160047576).

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

76256424 is a wasteful number, since it uses less digits than its factorization.

76256424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 76256424 is about 8732.4924277093. The cubic root of 76256424 is about 424.0582126078.

The spelling of 76256424 in words is "seventy-six million, two hundred fifty-six thousand, four hundred twenty-four".