806215680 has 280 divisors, whose sum is σ = 2902150152. Its totient is φ = 214990848.

The previous prime is 806215673. The next prime is 806215693. The reversal of 806215680 is 86512608.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)⁶.

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 19 ways as a sum of consecutive naturals, for example, 161243134 + ... + 161243138.

Almost surely, 2^806215680 is an apocalyptic number.

806215680 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 806215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451075076).

806215680 is an abundant number, since it is smaller than the sum of its proper divisors (2095934472).

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

806215680 is an frugal number, since it uses more digits than its factorization.

806215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 806215680 is about 28393.9373810678. The cubic root of 806215680 is about 930.7157860938.

The spelling of 806215680 in words is "eight hundred six million, two hundred fifteen thousand, six hundred eighty".