801078900 has 72 divisors (see below), whose sum is σ = 2322247200. Its totient is φ = 213210240.

The previous prime is 801078877. The next prime is 801078917. The reversal of 801078900 is 9870108.

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, 173826 + ... + 178374.

Almost surely, 2^801078900 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 801078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161123600).

801078900 is an abundant number, since it is smaller than the sum of its proper divisors (1521168300).

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

801078900 is a wasteful number, since it uses less digits than its factorization.

801078900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 801078900 is about 28303.3372590583. The cubic root of 801078900 is about 928.7348967774.

The spelling of 801078900 in words is "eight hundred one million, seventy-eight thousand, nine hundred".