76133520 has 200 divisors, whose sum is σ = 273672960. Its totient is φ = 19595520.

The previous prime is 76133501. The next prime is 76133527. The reversal of 76133520 is 2533167.

It is a happy number.

76133520 is a `hidden beast` number, since 7 + 6 + 133 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76133527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200691 + ... + 201069.

Almost surely, 2^76133520 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 76133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136836480).

76133520 is an abundant number, since it is smaller than the sum of its proper divisors (197539440).

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

76133520 is a wasteful number, since it uses less digits than its factorization.

76133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 76133520 is about 8725.4524238002. The cubic root of 76133520 is about 423.8302690763.

Adding to 76133520 its reverse (2533167), we get a palindrome (78666687).

The spelling of 76133520 in words is "seventy-six million, one hundred thirty-three thousand, five hundred twenty".