76198320 has 200 divisors, whose sum is σ = 288977040. Its totient is φ = 18455040.

The previous prime is 76198319. The next prime is 76198361. The reversal of 76198320 is 2389167.

76198320 is a `hidden beast` number, since 7 + 619 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 70746 + ... + 71814.

Almost surely, 2^76198320 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 76198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144488520).

76198320 is an abundant number, since it is smaller than the sum of its proper divisors (212778720).

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

76198320 is a wasteful number, since it uses less digits than its factorization.

76198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 76198320 is about 8729.1649085122. The cubic root of 76198320 is about 423.9504807482.

The spelling of 76198320 in words is "seventy-six million, one hundred ninety-eight thousand, three hundred twenty".