806729040 has 240 divisors, whose sum is σ = 2957310720. Its totient is φ = 195886080.

The previous prime is 806729039. The next prime is 806729107. The reversal of 806729040 is 40927608.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 806728986 and 806729004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738895 + ... + 739985.

It is an arithmetic number, because the mean of its divisors is an integer number (12322128).

Almost surely, 2^806729040 is an apocalyptic number.

806729040 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 806729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478655360).

806729040 is an abundant number, since it is smaller than the sum of its proper divisors (2150581680).

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

806729040 is a wasteful number, since it uses less digits than its factorization.

806729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 806729040 is about 28402.9759004228. The cubic root of 806729040 is about 930.9132894384.

The spelling of 806729040 in words is "eight hundred six million, seven hundred twenty-nine thousand, forty".