812515200 has 384 divisors, whose sum is σ = 3114443520. Its totient is φ = 182353920.

The previous prime is 812515169. The next prime is 812515217. The reversal of 812515200 is 2515218.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7190344 + ... + 7190456.

It is an arithmetic number, because the mean of its divisors is an integer number (8110530).

Almost surely, 2^812515200 is an apocalyptic number.

812515200 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 812515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557221760).

812515200 is an abundant number, since it is smaller than the sum of its proper divisors (2301928320).

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

812515200 is a wasteful number, since it uses less digits than its factorization.

812515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 812515200 is about 28504.6522518693. The cubic root of 812515200 is about 933.1336080572.

The spelling of 812515200 in words is "eight hundred twelve million, five hundred fifteen thousand, two hundred".