76540512 has 96 divisors (see below), whose sum is σ = 218937600. Its totient is φ = 23321088.

The previous prime is 76540507. The next prime is 76540537. The reversal of 76540512 is 21504567.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 76540512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52173 + ... + 53619.

It is an arithmetic number, because the mean of its divisors is an integer number (2280600).

Almost surely, 2^76540512 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 76540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109468800).

76540512 is an abundant number, since it is smaller than the sum of its proper divisors (142397088).

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

76540512 is a wasteful number, since it uses less digits than its factorization.

76540512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 76540512 is about 8748.7434526336. The cubic root of 76540512 is about 424.5841598062.

The spelling of 76540512 in words is "seventy-six million, five hundred forty thousand, five hundred twelve".