809712025600 has 459 divisors, whose sum is σ = 2178147970467. Its totient is φ = 298545315840.

The previous prime is 809712025547. The next prime is 809712025621. The reversal of 809712025600 is 6520217908.

The square root of 809712025600 is 899840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 76866453504 + 732845572096 = 277248^2 + 856064^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21884108782 + ... + 21884108818.

Almost surely, 2^809712025600 is an apocalyptic number.

809712025600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

809712025600 is the 899840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809712025600

809712025600 is an abundant number, since it is smaller than the sum of its proper divisors (1368435944867).

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

809712025600 is an frugal number, since it uses more digits than its factorization.

809712025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 809712025600 in words is "eight hundred nine billion, seven hundred twelve million, twenty-five thousand, six hundred".