76827528 has 80 divisors (see below), whose sum is σ = 219346380. Its totient is φ = 25114752.

The previous prime is 76827523. The next prime is 76827533. The reversal of 76827528 is 82572867.

It is an interprime number because it is at equal distance from previous prime (76827523) and next prime (76827533).

It can be written as a sum of positive squares in 2 ways, for example, as 71267364 + 5560164 = 8442^2 + 2358^2 .

It is not an unprimeable number, because it can be changed into a prime (76827523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33226 + ... + 35462.

Almost surely, 2^76827528 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 76827528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109673190).

76827528 is an abundant number, since it is smaller than the sum of its proper divisors (142518852).

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

76827528 is a wasteful number, since it uses less digits than its factorization.

76827528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2295 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 76827528 is about 8765.1313738015. The cubic root of 76827528 is about 425.1142078305.

The spelling of 76827528 in words is "seventy-six million, eight hundred twenty-seven thousand, five hundred twenty-eight".