76047006 has 64 divisors (see below), whose sum is σ = 184204800. Its totient is φ = 20445696.

The previous prime is 76046977. The next prime is 76047017. The reversal of 76047006 is 60074067.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 185730 + ... + 186138.

It is an arithmetic number, because the mean of its divisors is an integer number (2878200).

Almost surely, 2^76047006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76047006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92102400).

76047006 is an abundant number, since it is smaller than the sum of its proper divisors (108157794).

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

76047006 is a wasteful number, since it uses less digits than its factorization.

76047006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 76047006 is about 8720.4934493410. The cubic root of 76047006 is about 423.6696689903.

The spelling of 76047006 in words is "seventy-six million, forty-seven thousand, six".