814412880 has 200 divisors, whose sum is σ = 2995368552. Its totient is φ = 204374016.

The previous prime is 814412857. The next prime is 814412899. The reversal of 814412880 is 88214418.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 750540816 = 7992^2 + 27396^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106464 + ... + 113856.

Almost surely, 2^814412880 is an apocalyptic number.

814412880 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 814412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497684276).

814412880 is an abundant number, since it is smaller than the sum of its proper divisors (2180955672).

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

814412880 is a wasteful number, since it uses less digits than its factorization.

814412880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 814412880 is about 28537.9200363306. The cubic root of 814412880 is about 933.8595071646.

The spelling of 814412880 in words is "eight hundred fourteen million, four hundred twelve thousand, eight hundred eighty".