806797513440 has 144 divisors (see below), whose sum is σ = 2842009462656. Its totient is φ = 208205798400.

The previous prime is 806797513397. The next prime is 806797513463. The reversal of 806797513440 is 44315797608.

806797513440 is a `hidden beast` number, since 8 + 0 + 67 + 97 + 51 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8992071 + ... + 9081350.

It is an arithmetic number, because the mean of its divisors is an integer number (19736176824).

Almost surely, 2^806797513440 is an apocalyptic number.

806797513440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806797513440 is an abundant number, since it is smaller than the sum of its proper divisors (2035211949216).

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

806797513440 is a wasteful number, since it uses less digits than its factorization.

806797513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18073473 (or 18073462 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 806797513440 in words is "eight hundred six billion, seven hundred ninety-seven million, five hundred thirteen thousand, four hundred forty".