806601600 has 288 divisors, whose sum is σ = 3290124240. Its totient is φ = 184320000.

The previous prime is 806601557. The next prime is 806601629. The reversal of 806601600 is 6106608.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×806601600² = 1301212282245120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199600 + ... + 203600.

Almost surely, 2^806601600 is an apocalyptic number.

806601600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645062120).

806601600 is an abundant number, since it is smaller than the sum of its proper divisors (2483522640).

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

806601600 is a wasteful number, since it uses less digits than its factorization.

806601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4018 counting only the distinct ones).

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

The square root of 806601600 is about 28400.7323849228. The cubic root of 806601600 is about 930.8642676764.

The spelling of 806601600 in words is "eight hundred six million, six hundred one thousand, six hundred".