806783040 has 252 divisors, whose sum is σ = 3228622956. Its totient is φ = 184375296.

The previous prime is 806783017. The next prime is 806783057. The reversal of 806783040 is 40387608.

It can be written as a sum of positive squares in 2 ways, for example, as 379782144 + 427000896 = 19488^2 + 20664^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×806783040³ (a number of 28 digits) contains 333 as substring.

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 = 806782986 and 806783004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138262 + ... + 143978.

Almost surely, 2^806783040 is an apocalyptic number.

806783040 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 806783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614311478).

806783040 is an abundant number, since it is smaller than the sum of its proper divisors (2421839916).

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

806783040 is a wasteful number, since it uses less digits than its factorization.

806783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 806783040 is about 28403.9264891317. The cubic root of 806783040 is about 930.9340598143.

The spelling of 806783040 in words is "eight hundred six million, seven hundred eighty-three thousand, forty".