76528608 has 144 divisors (see below), whose sum is σ = 224123760. Its totient is φ = 22843392.

The previous prime is 76528607. The next prime is 76528633. The reversal of 76528608 is 80682567.

It is a self number, because there is not a number n which added to its sum of digits gives 76528608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76528607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859828 + ... + 859916.

It is an arithmetic number, because the mean of its divisors is an integer number (1556415).

Almost surely, 2^76528608 is an apocalyptic number.

76528608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76528608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112061880).

76528608 is an abundant number, since it is smaller than the sum of its proper divisors (147595152).

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

76528608 is a wasteful number, since it uses less digits than its factorization.

76528608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 76528608 is about 8748.0630999096. The cubic root of 76528608 is about 424.5621474464.

The spelling of 76528608 in words is "seventy-six million, five hundred twenty-eight thousand, six hundred eight".