814471680 has 320 divisors, whose sum is σ = 2941526016. Its totient is φ = 190464000.

The previous prime is 814471673. The next prime is 814471703. The reversal of 814471680 is 86174418.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2618725 + ... + 2619035.

Almost surely, 2^814471680 is an apocalyptic number.

814471680 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 814471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470763008).

814471680 is an abundant number, since it is smaller than the sum of its proper divisors (2127054336).

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

814471680 is a wasteful number, since it uses less digits than its factorization.

814471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 814471680 is about 28538.9502259631. The cubic root of 814471680 is about 933.8819812761.

The spelling of 814471680 in words is "eight hundred fourteen million, four hundred seventy-one thousand, six hundred eighty".