812232960 has 576 divisors, whose sum is σ = 3362494464. Its totient is φ = 162201600.

The previous prime is 812232959. The next prime is 812232961. The reversal of 812232960 is 69232218.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (812232959) and next prime (812232961).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812232961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12122847 + ... + 12122913.

It is an arithmetic number, because the mean of its divisors is an integer number (5837664).

Almost surely, 2^812232960 is an apocalyptic number.

812232960 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 812232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681247232).

812232960 is an abundant number, since it is smaller than the sum of its proper divisors (2550261504).

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

812232960 is a wasteful number, since it uses less digits than its factorization.

812232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 812232960 is about 28499.7010510637. The cubic root of 812232960 is about 933.0255493073.

The spelling of 812232960 in words is "eight hundred twelve million, two hundred thirty-two thousand, nine hundred sixty".