806682240 has 896 divisors, whose sum is σ = 3745929600. Its totient is φ = 161243136.

The previous prime is 806682223. The next prime is 806682271. The reversal of 806682240 is 42286608.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 806682195 and 806682204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456951 + ... + 42456969.

It is an arithmetic number, because the mean of its divisors is an integer number (4180725).

Almost surely, 2^806682240 is an apocalyptic number.

806682240 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 806682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872964800).

806682240 is an abundant number, since it is smaller than the sum of its proper divisors (2939247360).

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

806682240 is a wasteful number, since it uses less digits than its factorization.

806682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 806682240 is about 28402.1520311402. The cubic root of 806682240 is about 930.8952876963.

The spelling of 806682240 in words is "eight hundred six million, six hundred eighty-two thousand, two hundred forty".