807528060 has 72 divisors (see below), whose sum is σ = 2454759216. Its totient is φ = 214878720.

The previous prime is 807528049. The next prime is 807528077. The reversal of 807528060 is 60825708.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83812 + ... + 92948.

It is an arithmetic number, because the mean of its divisors is an integer number (34093878).

Almost surely, 2^807528060 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 807528060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227379608).

807528060 is an abundant number, since it is smaller than the sum of its proper divisors (1647231156).

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

807528060 is a wasteful number, since it uses less digits than its factorization.

807528060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9643 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 807528060 is about 28417.0381989397. The cubic root of 807528060 is about 931.2205272116.

The spelling of 807528060 in words is "eight hundred seven million, five hundred twenty-eight thousand, sixty".