878587528900 has 81 divisors (see below), whose sum is σ = 1936799812269. Its totient is φ = 345942257760.

The previous prime is 878587528883. The next prime is 878587528901. The reversal of 878587528900 is 9825785878.

The square root of 878587528900 is 937330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 316291510404 + 562296018496 = 562398^2 + 749864^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (878587528901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 628010401 + ... + 628011799.

Almost surely, 2^878587528900 is an apocalyptic number.

878587528900 is the 937330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878587528900

878587528900 is an abundant number, since it is smaller than the sum of its proper divisors (1058212283369).

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

878587528900 is an equidigital number, since it uses as much as digits as its factorization.

878587528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 67.

The spelling of 878587528900 in words is "eight hundred seventy-eight billion, five hundred eighty-seven million, five hundred twenty-eight thousand, nine hundred".