76527504 has 75 divisors (see below), whose sum is σ = 222408043. Its totient is φ = 25509168.

The previous prime is 76527481. The next prime is 76527511. The reversal of 76527504 is 40572567.

The square root of 76527504 is 8748.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25509167 + 25509168 + 25509169.

Almost surely, 2^76527504 is an apocalyptic number.

76527504 is the 8748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76527504

76527504 is an abundant number, since it is smaller than the sum of its proper divisors (145880539).

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

76527504 is an frugal number, since it uses more digits than its factorization.

76527504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The cubic root of 76527504 is about 424.5601058618.

Multiplying 76527504 by its sum of digits (36), we get a square (2754990144 = 52488²).

76527504 divided by its sum of digits (36) gives a square (2125764 = 1458²).

The spelling of 76527504 in words is "seventy-six million, five hundred twenty-seven thousand, five hundred four".