806061600 has 108 divisors (see below), whose sum is σ = 2842400106. Its totient is φ = 214947840.

The previous prime is 806061593. The next prime is 806061631. The reversal of 806061600 is 6160608.

It can be written as a sum of positive squares in 3 ways, for example, as 485937936 + 320123664 = 22044^2 + 17892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48777 + ... + 63176.

Almost surely, 2^806061600 is an apocalyptic number.

806061600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806061600 is an abundant number, since it is smaller than the sum of its proper divisors (2036338506).

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

806061600 is a wasteful number, since it uses less digits than its factorization.

806061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111979 (or 111963 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 806061600 is about 28391.2239961577. The cubic root of 806061600 is about 930.6564910323.

The spelling of 806061600 in words is "eight hundred six million, sixty-one thousand, six hundred".