76124096 has 112 divisors (see below), whose sum is σ = 172346112. Its totient is φ = 33177600.

The previous prime is 76124093. The next prime is 76124099. The reversal of 76124096 is 69042167.

It is an interprime number because it is at equal distance from previous prime (76124093) and next prime (76124099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76124093) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1247906 + ... + 1247966.

Almost surely, 2^76124096 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 76124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86173056).

76124096 is an abundant number, since it is smaller than the sum of its proper divisors (96222016).

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

76124096 is a wasteful number, since it uses less digits than its factorization.

76124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 76124096 is about 8724.9123777835. The cubic root of 76124096 is about 423.8127807598.

The spelling of 76124096 in words is "seventy-six million, one hundred twenty-four thousand, ninety-six".