807680800 has 36 divisors (see below), whose sum is σ = 1971752706. Its totient is φ = 323072000.

The previous prime is 807680773. The next prime is 807680821. The reversal of 807680800 is 8086708.

It can be written as a sum of positive squares in 3 ways, for example, as 431475984 + 376204816 = 20772^2 + 19396^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 807680800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504001 + ... + 505600.

Almost surely, 2^807680800 is an apocalyptic number.

807680800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

807680800 is an abundant number, since it is smaller than the sum of its proper divisors (1164071906).

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

807680800 is a wasteful number, since it uses less digits than its factorization.

807680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009621 (or 1009608 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 807680800 is about 28419.7255440653. The cubic root of 807680800 is about 931.2792354529.

The spelling of 807680800 in words is "eight hundred seven million, six hundred eighty thousand, eight hundred".