76134240 has 432 divisors, whose sum is σ = 329395248. Its totient is φ = 15869952.

The previous prime is 76134239. The next prime is 76134259. The reversal of 76134240 is 4243167.

76134240 is a `hidden beast` number, since 7 + 613 + 4 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917239 + ... + 917321.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^76134240 is an apocalyptic number.

76134240 is a gapful number since it is divisible by the number (70) 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 76134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

76134240 is an abundant number, since it is smaller than the sum of its proper divisors (253261008).

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

76134240 is a wasteful number, since it uses less digits than its factorization.

76134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76134240 is about 8725.4936823082. The cubic root of 76134240 is about 423.8316051362.

The spelling of 76134240 in words is "seventy-six million, one hundred thirty-four thousand, two hundred forty".