814378656 has 192 divisors, whose sum is σ = 2669200128. Its totient is φ = 211673088.

The previous prime is 814378651. The next prime is 814378679. The reversal of 814378656 is 656873418.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (814378651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637090 + ... + 638366.

It is an arithmetic number, because the mean of its divisors is an integer number (13902084).

Almost surely, 2^814378656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814378656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334600064).

814378656 is an abundant number, since it is smaller than the sum of its proper divisors (1854821472).

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

814378656 is a wasteful number, since it uses less digits than its factorization.

814378656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 814378656 is about 28537.3204067936. The cubic root of 814378656 is about 933.8464258164.

The spelling of 814378656 in words is "eight hundred fourteen million, three hundred seventy-eight thousand, six hundred fifty-six".