803525580 has 576 divisors, whose sum is σ = 3170119680. Its totient is φ = 161740800.

The previous prime is 803525551. The next prime is 803525623. The reversal of 803525580 is 85525308.

803525580 is a `hidden beast` number, since 80 + 3 + 525 + 58 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15160834 + ... + 15160886.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^803525580 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 803525580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

803525580 is an abundant number, since it is smaller than the sum of its proper divisors (2366594100).

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

803525580 is a wasteful number, since it uses less digits than its factorization.

803525580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 803525580 is about 28346.5267713701. The cubic root of 803525580 is about 929.6794594253.

The spelling of 803525580 in words is "eight hundred three million, five hundred twenty-five thousand, five hundred eighty".