8010900 has 180 divisors, whose sum is σ = 27727392. Its totient is φ = 1995840.

The previous prime is 8010889. The next prime is 8010901. The reversal of 8010900 is 90108.

8010900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 186279 + ... + 186321.

Almost surely, 2^8010900 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 8010900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863696).

8010900 is an abundant number, since it is smaller than the sum of its proper divisors (19716492).

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

8010900 is a wasteful number, since it uses less digits than its factorization.

8010900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 8010900 is about 2830.3533348329. The cubic root of 8010900 is about 200.0907921111.

The spelling of 8010900 in words is "eight million, ten thousand, nine hundred".