806880000 has 270 divisors, whose sum is σ = 2750535172. Its totient is φ = 209920000.

The previous prime is 806879999. The next prime is 806880017. The reversal of 806880000 is 88608.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 806880000.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19679980 + ... + 19680020.

Almost surely, 2^806880000 is an apocalyptic number.

806880000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375267586).

806880000 is an abundant number, since it is smaller than the sum of its proper divisors (1943655172).

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

806880000 is an frugal number, since it uses more digits than its factorization.

806880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 806880000 is about 28405.6332441296. The cubic root of 806880000 is about 930.9713518520.

Multiplying 806880000 by its product of nonzero digits (3072), we get a square (2478735360000 = 1574400²).

The spelling of 806880000 in words is "eight hundred six million, eight hundred eighty thousand".