806791440 has 640 divisors, whose sum is σ = 3401782272. Its totient is φ = 153354240.

The previous prime is 806791417. The next prime is 806791441. The reversal of 806791440 is 44197608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (806791441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15222454 + ... + 15222506.

Almost surely, 2^806791440 is an apocalyptic number.

806791440 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 806791440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700891136).

806791440 is an abundant number, since it is smaller than the sum of its proper divisors (2594990832).

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

806791440 is a wasteful number, since it uses less digits than its factorization.

806791440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 806791440 is about 28404.0743556272. The cubic root of 806791440 is about 930.9372906783.

The spelling of 806791440 in words is "eight hundred six million, seven hundred ninety-one thousand, four hundred forty".