76530607452 has 288 divisors, whose sum is σ = 226161499200. Its totient is φ = 21615538176.

The previous prime is 76530607441. The next prime is 76530607453. The reversal of 76530607452 is 25470603567.

76530607452 is a `hidden beast` number, since 7 + 6 + 5 + 30 + 607 + 4 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76530607398 and 76530607407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76530607453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150354574 + ... + 150355082.

Almost surely, 2^76530607452 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 76530607452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113080749600).

76530607452 is an abundant number, since it is smaller than the sum of its proper divisors (149630891748).

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

76530607452 is a wasteful number, since it uses less digits than its factorization.

76530607452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 76530607452 in words is "seventy-six billion, five hundred thirty million, six hundred seven thousand, four hundred fifty-two".