812610240 has 448 divisors, whose sum is σ = 3072384000. Its totient is φ = 180043776.

The previous prime is 812610193. The next prime is 812610269. The reversal of 812610240 is 42016218.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 812610240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5453686 + ... + 5453834.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^812610240 is an apocalyptic number.

812610240 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 812610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192000).

812610240 is an abundant number, since it is smaller than the sum of its proper divisors (2259773760).

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

812610240 is a wasteful number, since it uses less digits than its factorization.

812610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 812610240 is about 28506.3192994115. The cubic root of 812610240 is about 933.1699895553.

Adding to 812610240 its reverse (42016218), we get a palindrome (854626458).

The spelling of 812610240 in words is "eight hundred twelve million, six hundred ten thousand, two hundred forty".