811284880 has 160 divisors (see below), whose sum is σ = 2356992000. Its totient is φ = 253255680.

The previous prime is 811284871. The next prime is 811284899. The reversal of 811284880 is 88482118.

It is a super-2 number, since 2×811284880² = 1316366313033228800, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 293746 + ... + 296494.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^811284880 is an apocalyptic number.

811284880 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 811284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496000).

811284880 is an abundant number, since it is smaller than the sum of its proper divisors (1545707120).

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

811284880 is a wasteful number, since it uses less digits than its factorization.

811284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 811284880 is about 28483.0630375316. The cubic root of 811284880 is about 932.6623828651.

The spelling of 811284880 in words is "eight hundred eleven million, two hundred eighty-four thousand, eight hundred eighty".