812570000 has 200 divisors, whose sum is σ = 2196421920. Its totient is φ = 288640000.

The previous prime is 812569993. The next prime is 812570027. The reversal of 812570000 is 75218.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9129956 + ... + 9130044.

Almost surely, 2^812570000 is an apocalyptic number.

812570000 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 812570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098210960).

812570000 is an abundant number, since it is smaller than the sum of its proper divisors (1383851920).

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

812570000 is a wasteful number, since it uses less digits than its factorization.

812570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 812570000 is about 28505.6134822599. The cubic root of 812570000 is about 933.1545859508.

It can be divided in two parts, 8125 and 70000, that added together give a 7-th power (78125 = 5⁷).

The spelling of 812570000 in words is "eight hundred twelve million, five hundred seventy thousand".