76124340 has 96 divisors (see below), whose sum is σ = 240817920. Its totient is φ = 19958400.

The previous prime is 76124303. The next prime is 76124341. The reversal of 76124340 is 4342167.

76124340 is a `hidden beast` number, since 7 + 612 + 4 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76124341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31785 + ... + 34095.

It is an arithmetic number, because the mean of its divisors is an integer number (2508520).

Almost surely, 2^76124340 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 76124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120408960).

76124340 is an abundant number, since it is smaller than the sum of its proper divisors (164693580).

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

76124340 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (76124339) it forms an eRAP, since the sums of their prime factors are consecutive (2389 and 2390).

76124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2382 counting only the distinct ones).

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

The square root of 76124340 is about 8724.9263607208. The cubic root of 76124340 is about 423.8132335740.

The spelling of 76124340 in words is "seventy-six million, one hundred twenty-four thousand, three hundred forty".