76415112 has 96 divisors (see below), whose sum is σ = 220802400. Its totient is φ = 23804928.

The previous prime is 76415107. The next prime is 76415113. The reversal of 76415112 is 21151467.

It is a happy number.

76415112 is a `hidden beast` number, since 7 + 641 + 5 + 1 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (76415113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113208 + ... + 113880.

It is an arithmetic number, because the mean of its divisors is an integer number (2300025).

Almost surely, 2^76415112 is an apocalyptic number.

76415112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76415112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110401200).

76415112 is an abundant number, since it is smaller than the sum of its proper divisors (144387288).

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

76415112 is a wasteful number, since it uses less digits than its factorization.

76415112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 76415112 is about 8741.5737713526. The cubic root of 76415112 is about 424.3521608490.

Adding to 76415112 its reverse (21151467), we get a palindrome (97566579).

It can be divided in two parts, 764 and 15112, that added together give a square (15876 = 126²).

The spelling of 76415112 in words is "seventy-six million, four hundred fifteen thousand, one hundred twelve".