801300528 has 360 divisors, whose sum is σ = 2830027200. Its totient is φ = 210325248.

The previous prime is 801300517. The next prime is 801300613. The reversal of 801300528 is 825003108.

It is a happy number.

801300528 is a `hidden beast` number, since 8 + 0 + 130 + 0 + 528 = 666.

801300528 is a nontrivial binomial coefficient, being equal to C(40033, 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5764683 + ... + 5764821.

Almost surely, 2^801300528 is an apocalyptic number.

801300528 is the 40032-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801300528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415013600).

801300528 is an abundant number, since it is smaller than the sum of its proper divisors (2028726672).

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

801300528 is a wasteful number, since it uses less digits than its factorization.

801300528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 801300528 is about 28307.2522156425. The cubic root of 801300528 is about 928.8205373964.

The spelling of 801300528 in words is "eight hundred one million, three hundred thousand, five hundred twenty-eight".