76397100 has 144 divisors (see below), whose sum is σ = 250817280. Its totient is φ = 17798400.

The previous prime is 76397093. The next prime is 76397129. The reversal of 76397100 is 179367.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73585 + ... + 74615.

Almost surely, 2^76397100 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 76397100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125408640).

76397100 is an abundant number, since it is smaller than the sum of its proper divisors (174420180).

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

76397100 is a wasteful number, since it uses less digits than its factorization.

76397100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 76397100 is about 8740.5434613644. The cubic root of 76397100 is about 424.3188165207.

The spelling of 76397100 in words is "seventy-six million, three hundred ninety-seven thousand, one hundred".