814090752 has 240 divisors, whose sum is σ = 2502339840. Its totient is φ = 254361600.

The previous prime is 814090733. The next prime is 814090763. The reversal of 814090752 is 257090418.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5856699 + ... + 5856837.

It is an arithmetic number, because the mean of its divisors is an integer number (10426416).

Almost surely, 2^814090752 is an apocalyptic number.

814090752 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 814090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251169920).

814090752 is an abundant number, since it is smaller than the sum of its proper divisors (1688249088).

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

814090752 is a wasteful number, since it uses less digits than its factorization.

814090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 814090752 is about 28532.2756190249. The cubic root of 814090752 is about 933.7363665262.

The spelling of 814090752 in words is "eight hundred fourteen million, ninety thousand, seven hundred fifty-two".