814855680 has 160 divisors (see below), whose sum is σ = 2894680800. Its totient is φ = 217276416.

The previous prime is 814855673. The next prime is 814855693. The reversal of 814855680 is 86558418.

814855680 is a `hidden beast` number, since 8 + 1 + 4 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63226 + ... + 75014.

It is an arithmetic number, because the mean of its divisors is an integer number (18091755).

Almost surely, 2^814855680 is an apocalyptic number.

814855680 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 814855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447340400).

814855680 is an abundant number, since it is smaller than the sum of its proper divisors (2079825120).

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

814855680 is a wasteful number, since it uses less digits than its factorization.

814855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11821 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 814855680 is about 28545.6770807770. The cubic root of 814855680 is about 934.0287243924.

The spelling of 814855680 in words is "eight hundred fourteen million, eight hundred fifty-five thousand, six hundred eighty".