806578080 has 384 divisors, whose sum is σ = 3210762240. Its totient is φ = 165335040.

The previous prime is 806578049. The next prime is 806578081. The reversal of 806578080 is 80875608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (806578081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5137362 + ... + 5137518.

It is an arithmetic number, because the mean of its divisors is an integer number (8361360).

Almost surely, 2^806578080 is an apocalyptic number.

806578080 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 806578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605381120).

806578080 is an abundant number, since it is smaller than the sum of its proper divisors (2404184160).

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

806578080 is a wasteful number, since it uses less digits than its factorization.

806578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 806578080 is about 28400.3183080754. The cubic root of 806578080 is about 930.8552197811.

The spelling of 806578080 in words is "eight hundred six million, five hundred seventy-eight thousand, eighty".