814412080 has 20 divisors (see below), whose sum is σ = 1893508272. Its totient is φ = 325764800.

The previous prime is 814412063. The next prime is 814412101. The reversal of 814412080 is 80214418.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×814412080⁴ (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5089996 + ... + 5090155.

Almost surely, 2^814412080 is an apocalyptic number.

814412080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814412080 is an abundant number, since it is smaller than the sum of its proper divisors (1079096192).

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

814412080 is a wasteful number, since it uses less digits than its factorization.

814412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180164 (or 10180158 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 814412080 is about 28537.9060198887. The cubic root of 814412080 is about 933.8592013869.

Adding to 814412080 its reverse (80214418), we get a palindrome (894626498).

It can be divided in two parts, 81441 and 2080, that added together give a 4-th power (83521 = 17⁴).

The spelling of 814412080 in words is "eight hundred fourteen million, four hundred twelve thousand, eighty".