76780100 has 36 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 30320160.

The previous prime is 76780091. The next prime is 76780103. The reversal of 76780100 is 108767.

It is not an unprimeable number, because it can be changed into a prime (76780103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3041 + ... + 12759.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^76780100 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 76780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

76780100 is an abundant number, since it is smaller than the sum of its proper divisors (91959100).

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

76780100 is a wasteful number, since it uses less digits than its factorization.

76780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 76780100 is about 8762.4254633064. The cubic root of 76780100 is about 425.0267111239.

Adding to 76780100 its reverse (108767), we get a palindrome (76888867).

The spelling of 76780100 in words is "seventy-six million, seven hundred eighty thousand, one hundred".