814351680 has 168 divisors, whose sum is σ = 2965975272. Its totient is φ = 204374016.

The previous prime is 814351669. The next prime is 814351693. The reversal of 814351680 is 86153418.

It can be written as a sum of positive squares in 4 ways, for example, as 57881664 + 756470016 = 7608^2 + 27504^2 .

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 23 ways as a sum of consecutive naturals, for example, 40644 + ... + 57276.

Almost surely, 2^814351680 is an apocalyptic number.

814351680 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 814351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482987636).

814351680 is an abundant number, since it is smaller than the sum of its proper divisors (2151623592).

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

814351680 is a wasteful number, since it uses less digits than its factorization.

814351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16673 (or 16660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 814351680 is about 28536.8477586436. The cubic root of 814351680 is about 933.8361145935.

The spelling of 814351680 in words is "eight hundred fourteen million, three hundred fifty-one thousand, six hundred eighty".