80868900 has 144 divisors (see below), whose sum is σ = 270843776. Its totient is φ = 18247680.

The previous prime is 80868869. The next prime is 80868911. The reversal of 80868900 is 986808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203502 + ... + 203898.

Almost surely, 2^80868900 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 80868900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135421888).

80868900 is an abundant number, since it is smaller than the sum of its proper divisors (189974876).

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

80868900 is a wasteful number, since it uses less digits than its factorization.

80868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 80868900 is about 8992.7137172269. The cubic root of 80868900 is about 432.4413142777.

The spelling of 80868900 in words is "eighty million, eight hundred sixty-eight thousand, nine hundred".