80100900 has 360 divisors, whose sum is σ = 302480640. Its totient is φ = 18144000.

The previous prime is 80100899. The next prime is 80100913. The reversal of 80100900 is 900108.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2583885 + ... + 2583915.

It is an arithmetic number, because the mean of its divisors is an integer number (840224).

Almost surely, 2^80100900 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 80100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

80100900 is an abundant number, since it is smaller than the sum of its proper divisors (222379740).

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

80100900 is a wasteful number, since it uses less digits than its factorization.

80100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

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

The square root of 80100900 is about 8949.9106140788. The cubic root of 80100900 is about 431.0680139505.

The spelling of 80100900 in words is "eighty million, one hundred thousand, nine hundred".