76616100 has 216 divisors, whose sum is σ = 268107840. Its totient is φ = 18144000.

The previous prime is 76616083. The next prime is 76616101. The reversal of 76616100 is 161667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76616101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702846 + ... + 702954.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^76616100 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 76616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

76616100 is an abundant number, since it is smaller than the sum of its proper divisors (191491740).

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

76616100 is a wasteful number, since it uses less digits than its factorization.

76616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 76616100 is about 8753.0623212679. The cubic root of 76616100 is about 424.7238806231.

Adding to 76616100 its reverse (161667), we get a palindrome (76777767).

The spelling of 76616100 in words is "seventy-six million, six hundred sixteen thousand, one hundred".