812647987200 has 2592 divisors, whose sum is σ = 3708467642880. Its totient is φ = 175575859200.

The previous prime is 812647987159. The next prime is 812647987201. The reversal of 812647987200 is 2789746218.

It is a happy number.

812647987200 is a `hidden beast` number, since 81 + 26 + 479 + 8 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×812647987200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812647987201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18898790379 + ... + 18898790421.

Almost surely, 2^812647987200 is an apocalyptic number.

812647987200 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 812647987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854233821440).

812647987200 is an abundant number, since it is smaller than the sum of its proper divisors (2895819655680).

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

812647987200 is a wasteful number, since it uses less digits than its factorization.

812647987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

812647987200 divided by its product of nonzero digits (2709504) gives a triangular number (299925 = T₇₇₄).

The spelling of 812647987200 in words is "eight hundred twelve billion, six hundred forty-seven million, nine hundred eighty-seven thousand, two hundred".