76683468 has 48 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 23937408.

The previous prime is 76683463. The next prime is 76683493. The reversal of 76683468 is 86438667.

It is a happy number.

76683468 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

76683468 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (76683463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18403 + ... + 22181.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^76683468 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 76683468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

76683468 is an abundant number, since it is smaller than the sum of its proper divisors (113828532).

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

76683468 is a wasteful number, since it uses less digits than its factorization.

76683468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3892 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 76683468 is about 8756.9097288941. The cubic root of 76683468 is about 424.8483297320.

The spelling of 76683468 in words is "seventy-six million, six hundred eighty-three thousand, four hundred sixty-eight".