76540500 has 144 divisors (see below), whose sum is σ = 245817936. Its totient is φ = 20044800.

The previous prime is 76540423. The next prime is 76540507. The reversal of 76540500 is 504567.

76540500 is a `hidden beast` number, since 7 + 654 + 0 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34082244 + 42458256 = 5838^2 + 6516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76540507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328384 + ... + 328616.

It is an arithmetic number, because the mean of its divisors is an integer number (1707069).

Almost surely, 2^76540500 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 76540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122908968).

76540500 is an abundant number, since it is smaller than the sum of its proper divisors (169277436).

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

76540500 is a wasteful number, since it uses less digits than its factorization.

76540500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 76540500 is about 8748.7427668208. The cubic root of 76540500 is about 424.5841376175.

The spelling of 76540500 in words is "seventy-six million, five hundred forty thousand, five hundred".