812582680 has 96 divisors (see below), whose sum is σ = 2290483440. Its totient is φ = 257160960.

The previous prime is 812582669. The next prime is 812582681. The reversal of 812582680 is 86285218.

It is a happy number.

It is a super-2 number, since 2×812582680² = 1320581223671964800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812582681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9535 + ... + 41425.

Almost surely, 2^812582680 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 812582680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145241720).

812582680 is an abundant number, since it is smaller than the sum of its proper divisors (1477900760).

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

812582680 is a wasteful number, since it uses less digits than its factorization.

812582680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31929 (or 31918 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 812582680 is about 28505.8358937253. The cubic root of 812582680 is about 933.1594398254.

It can be divided in two parts, 81258 and 2680, that added together give a palindrome (83938).

The spelling of 812582680 in words is "eight hundred twelve million, five hundred eighty-two thousand, six hundred eighty".