805389480 has 576 divisors, whose sum is σ = 3361176000. Its totient is φ = 172440576.

The previous prime is 805389463. The next prime is 805389503. The reversal of 805389480 is 84983508.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9049276 + ... + 9049364.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2^805389480 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 805389480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588000).

805389480 is an abundant number, since it is smaller than the sum of its proper divisors (2555786520).

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

805389480 is a wasteful number, since it uses less digits than its factorization.

805389480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 805389480 is about 28379.3847713441. The cubic root of 805389480 is about 930.3977486984.

The spelling of 805389480 in words is "eight hundred five million, three hundred eighty-nine thousand, four hundred eighty".