807230800 has 30 divisors (see below), whose sum is σ = 1939372958. Its totient is φ = 322892160.

The previous prime is 807230797. The next prime is 807230833. The reversal of 807230800 is 8032708.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4981824 + 802248976 = 2232^2 + 28324^2 .

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 5 ways as a sum of consecutive naturals, for example, 1008639 + ... + 1009438.

Almost surely, 2^807230800 is an apocalyptic number.

807230800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

807230800 is an abundant number, since it is smaller than the sum of its proper divisors (1132142158).

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

807230800 is a wasteful number, since it uses less digits than its factorization.

807230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018095 (or 2018084 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 807230800 is about 28411.8074046689. The cubic root of 807230800 is about 931.1062490002.

The spelling of 807230800 in words is "eight hundred seven million, two hundred thirty thousand, eight hundred".