801705900 has 72 divisors (see below), whose sum is σ = 2340978640. Its totient is φ = 211818240.

The previous prime is 801705887. The next prime is 801705979. The reversal of 801705900 is 9507108.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20442 + ... + 44958.

Almost surely, 2^801705900 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 801705900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170489320).

801705900 is an abundant number, since it is smaller than the sum of its proper divisors (1539272740).

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

801705900 is a wasteful number, since it uses less digits than its factorization.

801705900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643 (or 24636 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 801705900 is about 28314.4115248755. The cubic root of 801705900 is about 928.9771388008.

The spelling of 801705900 in words is "eight hundred one million, seven hundred five thousand, nine hundred".