830766800 has 30 divisors (see below), whose sum is σ = 1995918198. Its totient is φ = 332306560.

The previous prime is 830766779. The next prime is 830766821. The reversal of 830766800 is 8667038.

It is an interprime number because it is at equal distance from previous prime (830766779) and next prime (830766821).

It can be written as a sum of positive squares in 3 ways, for example, as 126607504 + 704159296 = 11252^2 + 26536^2 .

It is a congruent number.

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, 1038059 + ... + 1038858.

Almost surely, 2^830766800 is an apocalyptic number.

830766800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830766800 is an abundant number, since it is smaller than the sum of its proper divisors (1165151398).

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

830766800 is a wasteful number, since it uses less digits than its factorization.

830766800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076935 (or 2076924 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 830766800 is about 28823.0255178043. The cubic root of 830766800 is about 940.0689552554.

The spelling of 830766800 in words is "eight hundred thirty million, seven hundred sixty-six thousand, eight hundred".