812950920 has 96 divisors (see below), whose sum is σ = 2671882200. Its totient is φ = 214342656.

The previous prime is 812950903. The next prime is 812950921. The reversal of 812950920 is 29059218.

812950920 is a `hidden beast` number, since 8 + 129 + 509 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 257217444 + 555733476 = 16038^2 + 23574^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (812950921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19354 + ... + 44726.

Almost surely, 2^812950920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335941100).

812950920 is an abundant number, since it is smaller than the sum of its proper divisors (1858931280).

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

812950920 is a wasteful number, since it uses less digits than its factorization.

812950920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25479 (or 25472 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 812950920 is about 28512.2941904014. The cubic root of 812950920 is about 933.3003792220.

It can be divided in two parts, 8129 and 50920, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 812950920 in words is "eight hundred twelve million, nine hundred fifty thousand, nine hundred twenty".