809466880 has 176 divisors, whose sum is σ = 2095800480. Its totient is φ = 299040768.

The previous prime is 809466859. The next prime is 809466901. The reversal of 809466880 is 88664908.

809466880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (809466859) and next prime (809466901).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5155762 + ... + 5155918.

Almost surely, 2^809466880 is an apocalyptic number.

809466880 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 809466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047900240).

809466880 is an abundant number, since it is smaller than the sum of its proper divisors (1286333600).

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

809466880 is a wasteful number, since it uses less digits than its factorization.

809466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 809466880 is about 28451.1314362013. The cubic root of 809466880 is about 931.9651972980.

It can be divided in two parts, 80 and 9466880, that multiplied together give a square (757350400 = 27520²).

The spelling of 809466880 in words is "eight hundred nine million, four hundred sixty-six thousand, eight hundred eighty".