806744640 has 224 divisors, whose sum is σ = 2785628160. Its totient is φ = 196632576.

The previous prime is 806744599. The next prime is 806744677. The reversal of 806744640 is 46447608.

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

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 31 ways as a sum of consecutive naturals, for example, 1584706 + ... + 1585214.

It is an arithmetic number, because the mean of its divisors is an integer number (12435840).

Almost surely, 2^806744640 is an apocalyptic number.

806744640 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 806744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392814080).

806744640 is an abundant number, since it is smaller than the sum of its proper divisors (1978883520).

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

806744640 is a wasteful number, since it uses less digits than its factorization.

806744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 806744640 is about 28403.2505182065. The cubic root of 806744640 is about 930.9192898644.

The spelling of 806744640 in words is "eight hundred six million, seven hundred forty-four thousand, six hundred forty".