806786640 has 480 divisors, whose sum is σ = 3186653184. Its totient is φ = 180956160.

The previous prime is 806786639. The next prime is 806786657. The reversal of 806786640 is 46687608.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7832829 + ... + 7832931.

Almost surely, 2^806786640 is an apocalyptic number.

806786640 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 806786640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593326592).

806786640 is an abundant number, since it is smaller than the sum of its proper divisors (2379866544).

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

806786640 is a wasteful number, since it uses less digits than its factorization.

806786640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 806786640 is about 28403.9898605812. The cubic root of 806786640 is about 930.9354444730.

The spelling of 806786640 in words is "eight hundred six million, seven hundred eighty-six thousand, six hundred forty".