76384640 has 96 divisors (see below), whose sum is σ = 189805680. Its totient is φ = 29388800.

The previous prime is 76384601. The next prime is 76384643. The reversal of 76384640 is 4648367.

It is a happy number.

It is a super-2 number, since 2×76384640² = 11669226455859200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76384594 and 76384603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76384643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075805 + ... + 1075875.

Almost surely, 2^76384640 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 76384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94902840).

76384640 is an abundant number, since it is smaller than the sum of its proper divisors (113421040).

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

76384640 is an equidigital number, since it uses as much as digits as its factorization.

76384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 76384640 is about 8739.8306619751. The cubic root of 76384640 is about 424.2957471463.

The spelling of 76384640 in words is "seventy-six million, three hundred eighty-four thousand, six hundred forty".