76405824 has 168 divisors, whose sum is σ = 247253760. Its totient is φ = 22348800.

The previous prime is 76405817. The next prime is 76405829. The reversal of 76405824 is 42850467.

76405824 is a `hidden beast` number, since 7 + 640 + 5 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×76405824² = 11675699882237952, which contains 22 as substring.

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 (76405829) 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 23 ways as a sum of consecutive naturals, for example, 196222 + ... + 196610.

Almost surely, 2^76405824 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 76405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123626880).

76405824 is an abundant number, since it is smaller than the sum of its proper divisors (170847936).

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

76405824 is a wasteful number, since it uses less digits than its factorization.

76405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 76405824 is about 8741.0425007547. The cubic root of 76405824 is about 424.3349672928.

The spelling of 76405824 in words is "seventy-six million, four hundred five thousand, eight hundred twenty-four".