76130208 has 144 divisors (see below), whose sum is σ = 269994816. Its totient is φ = 19768320.

The previous prime is 76130183. The next prime is 76130221. The reversal of 76130208 is 80203167.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 20460 + ... + 23892.

It is an arithmetic number, because the mean of its divisors is an integer number (1874964).

Almost surely, 2^76130208 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 76130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134997408).

76130208 is an abundant number, since it is smaller than the sum of its proper divisors (193864608).

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

76130208 is a wasteful number, since it uses less digits than its factorization.

76130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76130208 is about 8725.2626321504. The cubic root of 76130208 is about 423.8241230922.

The spelling of 76130208 in words is "seventy-six million, one hundred thirty thousand, two hundred eight".