811676440 has 96 divisors (see below), whose sum is σ = 1935057600. Its totient is φ = 306352640.

The previous prime is 811676429. The next prime is 811676443. The reversal of 811676440 is 44676118.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 811676440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811676443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1883025 + ... + 1883455.

It is an arithmetic number, because the mean of its divisors is an integer number (20156850).

Almost surely, 2^811676440 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 811676440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967528800).

811676440 is an abundant number, since it is smaller than the sum of its proper divisors (1123381160).

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

811676440 is a wasteful number, since it uses less digits than its factorization.

811676440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 811676440 is about 28489.9357668634. The cubic root of 811676440 is about 932.8124060176.

The spelling of 811676440 in words is "eight hundred eleven million, six hundred seventy-six thousand, four hundred forty".