76435104 has 48 divisors (see below), whose sum is σ = 201700800. Its totient is φ = 25344000.

The previous prime is 76435087. The next prime is 76435109. The reversal of 76435104 is 40153467.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (76435109) 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 7 ways as a sum of consecutive naturals, for example, 17104 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (4202100).

Almost surely, 2^76435104 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 76435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100850400).

76435104 is an abundant number, since it is smaller than the sum of its proper divisors (125265696).

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

76435104 is a wasteful number, since it uses less digits than its factorization.

76435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 76435104 is about 8742.7171977595. The cubic root of 76435104 is about 424.3891644750.

The spelling of 76435104 in words is "seventy-six million, four hundred thirty-five thousand, one hundred four".