807243864 has 64 divisors (see below), whose sum is σ = 2309260800. Its totient is φ = 230356224.

The previous prime is 807243821. The next prime is 807243869. The reversal of 807243864 is 468342708.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807243869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159972 + ... + 164940.

It is an arithmetic number, because the mean of its divisors is an integer number (36082200).

Almost surely, 2^807243864 is an apocalyptic number.

807243864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

807243864 is an abundant number, since it is smaller than the sum of its proper divisors (1502016936).

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

807243864 is a wasteful number, since it uses less digits than its factorization.

807243864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 807243864 is about 28412.0373081551. The cubic root of 807243864 is about 931.1112718951. Note that the first 3 decimals are identical.

The spelling of 807243864 in words is "eight hundred seven million, two hundred forty-three thousand, eight hundred sixty-four".