76395424 has 48 divisors (see below), whose sum is σ = 174738816. Its totient is φ = 32198400.

The previous prime is 76395413. The next prime is 76395427. The reversal of 76395424 is 42459367.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76395427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10869 + ... + 16459.

It is an arithmetic number, because the mean of its divisors is an integer number (3640392).

Almost surely, 2^76395424 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 76395424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87369408).

76395424 is an abundant number, since it is smaller than the sum of its proper divisors (98343392).

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

76395424 is a wasteful number, since it uses less digits than its factorization.

76395424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5661 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 76395424 is about 8740.4475857933. The cubic root of 76395424 is about 424.3157135951.

The spelling of 76395424 in words is "seventy-six million, three hundred ninety-five thousand, four hundred twenty-four".