812964000 has 192 divisors, whose sum is σ = 2736744192. Its totient is φ = 210816000.

The previous prime is 812963993. The next prime is 812964007. The reversal of 812964000 is 469218.

It is an interprime number because it is at equal distance from previous prime (812963993) and next prime (812964007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (812964007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443085 + ... + 444915.

It is an arithmetic number, because the mean of its divisors is an integer number (14253876).

Almost surely, 2^812964000 is an apocalyptic number.

812964000 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 812964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368372096).

812964000 is an abundant number, since it is smaller than the sum of its proper divisors (1923780192).

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

812964000 is a wasteful number, since it uses less digits than its factorization.

812964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 812964000 is about 28512.5235642165. The cubic root of 812964000 is about 933.3053846506.

The spelling of 812964000 in words is "eight hundred twelve million, nine hundred sixty-four thousand".