814308872 has 64 divisors (see below), whose sum is σ = 1692275760. Its totient is φ = 364953600.

The previous prime is 814308851. The next prime is 814308883. The reversal of 814308872 is 278803418.

It can be written as a sum of positive squares in 8 ways, for example, as 35117476 + 779191396 = 5926^2 + 27914^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1504922 + ... + 1505462.

Almost surely, 2^814308872 is an apocalyptic number.

814308872 is a gapful number since it is divisible by the number (82) 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 814308872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846137880).

814308872 is an abundant number, since it is smaller than the sum of its proper divisors (877966888).

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

814308872 is a wasteful number, since it uses less digits than its factorization.

814308872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 814308872 is about 28536.0977009822. The cubic root of 814308872 is about 933.8197513286.

The spelling of 814308872 in words is "eight hundred fourteen million, three hundred eight thousand, eight hundred seventy-two".