812620800 has 198 divisors, whose sum is σ = 2910391848. Its totient is φ = 216637440.

The previous prime is 812620789. The next prime is 812620807. The reversal of 812620800 is 8026218.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812620807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228637 + ... + 232163.

Almost surely, 2^812620800 is an apocalyptic number.

812620800 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 812620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455195924).

812620800 is an abundant number, since it is smaller than the sum of its proper divisors (2097771048).

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

812620800 is a wasteful number, since it uses less digits than its factorization.

812620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 812620800 is about 28506.5045208984. The cubic root of 812620800 is about 933.1740317688.

The spelling of 812620800 in words is "eight hundred twelve million, six hundred twenty thousand, eight hundred".