806064480 has 384 divisors, whose sum is σ = 3143024640. Its totient is φ = 191600640.

The previous prime is 806064443. The next prime is 806064527. The reversal of 806064480 is 84460608.

806064480 is a `hidden beast` number, since 8 + 0 + 6 + 0 + 644 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740729 + ... + 1741191.

It is an arithmetic number, because the mean of its divisors is an integer number (8184960).

Almost surely, 2^806064480 is an apocalyptic number.

806064480 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 806064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571512320).

806064480 is an abundant number, since it is smaller than the sum of its proper divisors (2336960160).

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

806064480 is a wasteful number, since it uses less digits than its factorization.

806064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 806064480 is about 28391.2747160109. The cubic root of 806064480 is about 930.6575994205.

The spelling of 806064480 in words is "eight hundred six million, sixty-four thousand, four hundred eighty".