812718950400 has 1728 divisors, whose sum is σ = 3564615600000. Its totient is φ = 172842024960.

The previous prime is 812718950333. The next prime is 812718950423. The reversal of 812718950400 is 4059817218.

812718950400 is a `hidden beast` number, since 8 + 12 + 7 + 189 + 50 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5454489526 + ... + 5454489674.

It is an arithmetic number, because the mean of its divisors is an integer number (2062856250).

Almost surely, 2^812718950400 is an apocalyptic number.

812718950400 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 812718950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782307800000).

812718950400 is an abundant number, since it is smaller than the sum of its proper divisors (2751896649600).

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

812718950400 is a wasteful number, since it uses less digits than its factorization.

812718950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 812718950400 in words is "eight hundred twelve billion, seven hundred eighteen million, nine hundred fifty thousand, four hundred".