814755840 has 208 divisors, whose sum is σ = 2653884000. Its totient is φ = 213385216.

The previous prime is 814755829. The next prime is 814755901. The reversal of 814755840 is 48557418.

It is a junction number, because it is equal to n+sod(n) for n = 814755792 and 814755801.

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, 5468086 + ... + 5468234.

Almost surely, 2^814755840 is an apocalyptic number.

814755840 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 814755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326942000).

814755840 is an abundant number, since it is smaller than the sum of its proper divisors (1839128160).

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

814755840 is a wasteful number, since it uses less digits than its factorization.

814755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 814755840 is about 28543.9282510309. The cubic root of 814755840 is about 933.9905756179.

The spelling of 814755840 in words is "eight hundred fourteen million, seven hundred fifty-five thousand, eight hundred forty".