807065040 has 80 divisors (see below), whose sum is σ = 2504893248. Its totient is φ = 214960128.

The previous prime is 807065029. The next prime is 807065057. The reversal of 807065040 is 40560708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 807064989 and 807065007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283464 + ... + 286296.

Almost surely, 2^807065040 is an apocalyptic number.

807065040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

807065040 is an abundant number, since it is smaller than the sum of its proper divisors (1697828208).

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

807065040 is a wasteful number, since it uses less digits than its factorization.

807065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 807065040 is about 28408.8901578362. The cubic root of 807065040 is about 931.0425122774.

The spelling of 807065040 in words is "eight hundred seven million, sixty-five thousand, forty".