76350528 has 168 divisors, whose sum is σ = 232157016. Its totient is φ = 23961600.

The previous prime is 76350479. The next prime is 76350541. The reversal of 76350528 is 82505367.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 75898944 = 672^2 + 8712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 76350492 and 76350501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251618 + ... + 1251678.

It is an arithmetic number, because the mean of its divisors is an integer number (1381887).

Almost surely, 2^76350528 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 76350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116078508).

76350528 is an abundant number, since it is smaller than the sum of its proper divisors (155806488).

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

76350528 is a wasteful number, since it uses less digits than its factorization.

76350528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 76350528 is about 8737.8789188223. The cubic root of 76350528 is about 424.2325768038.

The spelling of 76350528 in words is "seventy-six million, three hundred fifty thousand, five hundred twenty-eight".